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Finding the Fourth Proportional to 12,107.62, 18,160.07 and 3,343.78

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Solution

The fourth proportional to 12,107.62, 18,160.07 and 3,343.78 is: 5,015.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,107.62 : 18,160.07 = 3,343.78 : x
  2. Step 2: Convert to fraction form
    12,107.62/18,160.07 = 3,343.78/x
  3. Step 3: Cross multiply
    12,107.62x = 18,160.07 × 3,343.78
  4. Step 4: Simplify right side
    12,107.62x = 60,723,278.86
  5. Step 5: Solve for x
    x = 60,723,278.86/12,107.62
  6. Step 6: Final answer
    x = 5,015.29

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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.