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Finding the Fourth Proportional to 16,098.80, 24,149.40 and 5,709.20

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Solution

The fourth proportional to 16,098.80, 24,149.40 and 5,709.20 is: 8,564.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,098.80 : 24,149.40 = 5,709.20 : x
  2. Step 2: Convert to fraction form
    16,098.80/24,149.40 = 5,709.20/x
  3. Step 3: Cross multiply
    16,098.80x = 24,149.40 × 5,709.20
  4. Step 4: Simplify right side
    16,098.80x = 137,873,754.48
  5. Step 5: Solve for x
    x = 137,873,754.48/16,098.80
  6. Step 6: Final answer
    x = 8,564.23

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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.