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Finding the Fourth Proportional to 16,233.72, 22,402.08 and 9,160.80

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Solution

The fourth proportional to 16,233.72, 22,402.08 and 9,160.80 is: 12,641.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,233.72 : 22,402.08 = 9,160.80 : x
  2. Step 2: Convert to fraction form
    16,233.72/22,402.08 = 9,160.80/x
  3. Step 3: Cross multiply
    16,233.72x = 22,402.08 × 9,160.80
  4. Step 4: Simplify right side
    16,233.72x = 205,220,974.46
  5. Step 5: Solve for x
    x = 205,220,974.46/16,233.72
  6. Step 6: Final answer
    x = 12,641.65

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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.