yujhtheyujh Contest 1 - P7

Contributed by: yujhtheyujh

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Difficulty: 11

This problem is tagged with yty, yty1.

$ABCD$ is a tangential quadrilateral. The diagonals $AC$ and $BD$ intersect at $P$. If $AB = 20$, $BC = 23$, $AD = 13$, $BP = 4PD$, find $\frac{AP}{PC}$.
Your answer should be of the form "x/y".

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