Kawasaki extended their aggregate advantage in the 19th minute when Kengo Nakamura's throughball was reached by a stretching Elsinho, his touch diverting the ball into the net after home goalkeeper Shusaku Nishikawa had made dreadful mistake to commit and charge out of goal.
Urawa responded 10 minutes before half time as Shinya Yajima's perfectly weighted pass found Koroki and he made no mistake from close-range to register his fourth goal of the tournament
Kawasaki were then reduced to 10 men when Kurumaya challenged Koroki with a high boot to the face.
The visitors barely launched an attack in the second half as they attempted to preserve their lead and hosts Urawa reduced the aggregate deficit to one with 20 minutes remaining when Yosuke Kashiwagi swung in a corner from the right and Ljubijankic sent a looping header over keeper Jung Sung-ryong.
In a frantic finish, Urawa levelled the tie when Silva collected a pass from Kashiwagi and fired past Jung to move on to six goals for the tournament.
And Takafumi Hori's men completed their stunning recovery with their next attack, Takagi's volley finding its way into the far corner from Ryota Moriwaki's floated pass.