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Finding the Fourth Proportional to 16,475.38, 22,737.66 and 9,402.87

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Solution

The fourth proportional to 16,475.38, 22,737.66 and 9,402.87 is: 12,976.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,475.38 : 22,737.66 = 9,402.87 : x
  2. Step 2: Convert to fraction form
    16,475.38/22,737.66 = 9,402.87/x
  3. Step 3: Cross multiply
    16,475.38x = 22,737.66 × 9,402.87
  4. Step 4: Simplify right side
    16,475.38x = 213,799,261.08
  5. Step 5: Solve for x
    x = 213,799,261.08/16,475.38
  6. Step 6: Final answer
    x = 12,976.89

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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.