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Finding the Fourth Proportional to 16,229.56, 22,415 and 12,687.72

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Solution

The fourth proportional to 16,229.56, 22,415 and 12,687.72 is: 17,523.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,229.56 : 22,415 = 12,687.72 : x
  2. Step 2: Convert to fraction form
    16,229.56/22,415 = 12,687.72/x
  3. Step 3: Cross multiply
    16,229.56x = 22,415 × 12,687.72
  4. Step 4: Simplify right side
    16,229.56x = 284,395,243.80
  5. Step 5: Solve for x
    x = 284,395,243.80/16,229.56
  6. Step 6: Final answer
    x = 17,523.29

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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.