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Finding the Fourth Proportional to 16,154.31, 24,234.72 and 5,765.79

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Solution

The fourth proportional to 16,154.31, 24,234.72 and 5,765.79 is: 8,649.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,154.31 : 24,234.72 = 5,765.79 : x
  2. Step 2: Convert to fraction form
    16,154.31/24,234.72 = 5,765.79/x
  3. Step 3: Cross multiply
    16,154.31x = 24,234.72 × 5,765.79
  4. Step 4: Simplify right side
    16,154.31x = 139,732,306.23
  5. Step 5: Solve for x
    x = 139,732,306.23/16,154.31
  6. Step 6: Final answer
    x = 8,649.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.