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Finding the Fourth Proportional to 16,542.29, 24,816.86 and 5,449.66

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Solution

The fourth proportional to 16,542.29, 24,816.86 and 5,449.66 is: 8,175.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,542.29 : 24,816.86 = 5,449.66 : x
  2. Step 2: Convert to fraction form
    16,542.29/24,816.86 = 5,449.66/x
  3. Step 3: Cross multiply
    16,542.29x = 24,816.86 × 5,449.66
  4. Step 4: Simplify right side
    16,542.29x = 135,243,449.27
  5. Step 5: Solve for x
    x = 135,243,449.27/16,542.29
  6. Step 6: Final answer
    x = 8,175.62

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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.