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Finding the Fourth Proportional to 12,418.38, 18,614.61 and 5,019.84

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Solution

The fourth proportional to 12,418.38, 18,614.61 and 5,019.84 is: 7,524.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,418.38 : 18,614.61 = 5,019.84 : x
  2. Step 2: Convert to fraction form
    12,418.38/18,614.61 = 5,019.84/x
  3. Step 3: Cross multiply
    12,418.38x = 18,614.61 × 5,019.84
  4. Step 4: Simplify right side
    12,418.38x = 93,442,363.86
  5. Step 5: Solve for x
    x = 93,442,363.86/12,418.38
  6. Step 6: Final answer
    x = 7,524.52

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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.