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Finding the Fourth Proportional to 16,229.29, 22,380.89 and 9,856.92

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Solution

The fourth proportional to 16,229.29, 22,380.89 and 9,856.92 is: 13,593.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,229.29 : 22,380.89 = 9,856.92 : x
  2. Step 2: Convert to fraction form
    16,229.29/22,380.89 = 9,856.92/x
  3. Step 3: Cross multiply
    16,229.29x = 22,380.89 × 9,856.92
  4. Step 4: Simplify right side
    16,229.29x = 220,606,642.26
  5. Step 5: Solve for x
    x = 220,606,642.26/16,229.29
  6. Step 6: Final answer
    x = 13,593.12

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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.