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Finding the Fourth Proportional to 16,229.17, 22,396.42 and 9,059.76

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Solution

The fourth proportional to 16,229.17, 22,396.42 and 9,059.76 is: 12,502.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,229.17 : 22,396.42 = 9,059.76 : x
  2. Step 2: Convert to fraction form
    16,229.17/22,396.42 = 9,059.76/x
  3. Step 3: Cross multiply
    16,229.17x = 22,396.42 × 9,059.76
  4. Step 4: Simplify right side
    16,229.17x = 202,906,190.06
  5. Step 5: Solve for x
    x = 202,906,190.06/16,229.17
  6. Step 6: Final answer
    x = 12,502.56

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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.