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Finding the Fourth Proportional to 18,251.42, 27,377.14 and 6,414.49

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Solution

The fourth proportional to 18,251.42, 27,377.14 and 6,414.49 is: 9,621.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,251.42 : 27,377.14 = 6,414.49 : x
  2. Step 2: Convert to fraction form
    18,251.42/27,377.14 = 6,414.49/x
  3. Step 3: Cross multiply
    18,251.42x = 27,377.14 × 6,414.49
  4. Step 4: Simplify right side
    18,251.42x = 175,610,306.28
  5. Step 5: Solve for x
    x = 175,610,306.28/18,251.42
  6. Step 6: Final answer
    x = 9,621.73

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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.