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Finding the Fourth Proportional to 16,098.80, 24,152.76 and 5,711.60

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Solution

The fourth proportional to 16,098.80, 24,152.76 and 5,711.60 is: 8,569.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,098.80 : 24,152.76 = 5,711.60 : x
  2. Step 2: Convert to fraction form
    16,098.80/24,152.76 = 5,711.60/x
  3. Step 3: Cross multiply
    16,098.80x = 24,152.76 × 5,711.60
  4. Step 4: Simplify right side
    16,098.80x = 137,950,904.02
  5. Step 5: Solve for x
    x = 137,950,904.02/16,098.80
  6. Step 6: Final answer
    x = 8,569.02

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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.