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Finding the Fourth Proportional to 16,229.77, 22,398.13 and 9,156.04

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Solution

The fourth proportional to 16,229.77, 22,398.13 and 9,156.04 is: 12,635.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,229.77 : 22,398.13 = 9,156.04 : x
  2. Step 2: Convert to fraction form
    16,229.77/22,398.13 = 9,156.04/x
  3. Step 3: Cross multiply
    16,229.77x = 22,398.13 × 9,156.04
  4. Step 4: Simplify right side
    16,229.77x = 205,078,174.21
  5. Step 5: Solve for x
    x = 205,078,174.21/16,229.77
  6. Step 6: Final answer
    x = 12,635.93

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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.