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Finding the Fourth Proportional to 16,449.76, 24,677.52 and 5,355.28

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Solution

The fourth proportional to 16,449.76, 24,677.52 and 5,355.28 is: 8,033.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,449.76 : 24,677.52 = 5,355.28 : x
  2. Step 2: Convert to fraction form
    16,449.76/24,677.52 = 5,355.28/x
  3. Step 3: Cross multiply
    16,449.76x = 24,677.52 × 5,355.28
  4. Step 4: Simplify right side
    16,449.76x = 132,155,029.31
  5. Step 5: Solve for x
    x = 132,155,029.31/16,449.76
  6. Step 6: Final answer
    x = 8,033.86

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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.