Question 22
Let $ABCD$ be a parallelogram. Let $E$ be the midpoint of $AB$ and $F$ be the midpoint of $CD$. Points $P$ and $Q$ are on segments $EF$ and $CF$, respectively, such that $A$, $P$, and $Q$ are collinear. Given that $EP = 5$, $PF = 3$, and $QF = 12$, find $CQ$.