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Finding the Fourth Proportional to 16,615.92, 22,924.44 and 9,537.36

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Solution

The fourth proportional to 16,615.92, 22,924.44 and 9,537.36 is: 13,158.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,615.92 : 22,924.44 = 9,537.36 : x
  2. Step 2: Convert to fraction form
    16,615.92/22,924.44 = 9,537.36/x
  3. Step 3: Cross multiply
    16,615.92x = 22,924.44 × 9,537.36
  4. Step 4: Simplify right side
    16,615.92x = 218,638,637.08
  5. Step 5: Solve for x
    x = 218,638,637.08/16,615.92
  6. Step 6: Final answer
    x = 13,158.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.