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Finding the Fourth Proportional to 16,099.60, 24,149.40 and 5,712.40

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Solution

The fourth proportional to 16,099.60, 24,149.40 and 5,712.40 is: 8,568.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,099.60 : 24,149.40 = 5,712.40 : x
  2. Step 2: Convert to fraction form
    16,099.60/24,149.40 = 5,712.40/x
  3. Step 3: Cross multiply
    16,099.60x = 24,149.40 × 5,712.40
  4. Step 4: Simplify right side
    16,099.60x = 137,951,032.56
  5. Step 5: Solve for x
    x = 137,951,032.56/16,099.60
  6. Step 6: Final answer
    x = 8,568.60

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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.