In the diagram below, we have $\overline{MN}\parallel\overline{PQ}$, $OM = 9$, $OQ = 6$, and $PN = 24$. Find $OP$.

In the diagram below, we have , , , and . Find .

$pair O,M,NN,P,Q; M = (-0.4,0.5); NN = (0.3,0.5); P = -0.9*NN; Q = -0.9*M; label("$O$",O,E); label("$M$", M,N); label("$N$", NN,N); label("$P$",P,S); label("$Q$",Q,S); draw(M--NN--P--Q--M); [/asy]$$In the diagram below, we have $\overline{MN}\parallel\overline{PQ}$, $OM = 9$, $OQ = 6$, and $PN = 24$. Find $OP$.$