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Finding the Fourth Proportional to 16,257.72, 24,385.68 and 5,728.26

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Solution

The fourth proportional to 16,257.72, 24,385.68 and 5,728.26 is: 8,592.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,257.72 : 24,385.68 = 5,728.26 : x
  2. Step 2: Convert to fraction form
    16,257.72/24,385.68 = 5,728.26/x
  3. Step 3: Cross multiply
    16,257.72x = 24,385.68 × 5,728.26
  4. Step 4: Simplify right side
    16,257.72x = 139,687,515.32
  5. Step 5: Solve for x
    x = 139,687,515.32/16,257.72
  6. Step 6: Final answer
    x = 8,592.07

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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.