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Finding the Fourth Proportional to 16,539.80, 24,813.10 and 5,447.14

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Solution

The fourth proportional to 16,539.80, 24,813.10 and 5,447.14 is: 8,171.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,539.80 : 24,813.10 = 5,447.14 : x
  2. Step 2: Convert to fraction form
    16,539.80/24,813.10 = 5,447.14/x
  3. Step 3: Cross multiply
    16,539.80x = 24,813.10 × 5,447.14
  4. Step 4: Simplify right side
    16,539.80x = 135,160,429.53
  5. Step 5: Solve for x
    x = 135,160,429.53/16,539.80
  6. Step 6: Final answer
    x = 8,171.83

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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.