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Finding the Fourth Proportional to 12,468.62, 18,711.57 and 5,543.66

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Solution

The fourth proportional to 12,468.62, 18,711.57 and 5,543.66 is: 8,319.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,468.62 : 18,711.57 = 5,543.66 : x
  2. Step 2: Convert to fraction form
    12,468.62/18,711.57 = 5,543.66/x
  3. Step 3: Cross multiply
    12,468.62x = 18,711.57 × 5,543.66
  4. Step 4: Simplify right side
    12,468.62x = 103,730,582.15
  5. Step 5: Solve for x
    x = 103,730,582.15/12,468.62
  6. Step 6: Final answer
    x = 8,319.33

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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.