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Finding the Fourth Proportional to 16,472.98, 22,732.62 and 8,919.16

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Solution

The fourth proportional to 16,472.98, 22,732.62 and 8,919.16 is: 12,308.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,472.98 : 22,732.62 = 8,919.16 : x
  2. Step 2: Convert to fraction form
    16,472.98/22,732.62 = 8,919.16/x
  3. Step 3: Cross multiply
    16,472.98x = 22,732.62 × 8,919.16
  4. Step 4: Simplify right side
    16,472.98x = 202,755,765.30
  5. Step 5: Solve for x
    x = 202,755,765.30/16,472.98
  6. Step 6: Final answer
    x = 12,308.38

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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.