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Finding the Fourth Proportional to 16,351.30, 22,565.54 and 9,637.22

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Solution

The fourth proportional to 16,351.30, 22,565.54 and 9,637.22 is: 13,299.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,351.30 : 22,565.54 = 9,637.22 : x
  2. Step 2: Convert to fraction form
    16,351.30/22,565.54 = 9,637.22/x
  3. Step 3: Cross multiply
    16,351.30x = 22,565.54 × 9,637.22
  4. Step 4: Simplify right side
    16,351.30x = 217,469,073.40
  5. Step 5: Solve for x
    x = 217,469,073.40/16,351.30
  6. Step 6: Final answer
    x = 13,299.80

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