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Consider the image given below and answer the question that follows.
 
10 Ресурс 1.svg
 
\(\triangle ABC\) and \(\triangle APQ\) satisfy the SSS similarity criterion. Find the value of \(AP\), if \(AQ\) \(=\) \(3\) \(cm\) and \(QC\) \(=\) \(12\) \(cm\). Also, \(AB\) \(=\) 23.5 \(cm\) and \(AC\) \(=\) 15 \(cm\).
 
\(AP\) \(=\)