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Finding the Fourth Proportional to 12,471.70, 18,691.41 and 5,067.57

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Solution

The fourth proportional to 12,471.70, 18,691.41 and 5,067.57 is: 7,594.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,471.70 : 18,691.41 = 5,067.57 : x
  2. Step 2: Convert to fraction form
    12,471.70/18,691.41 = 5,067.57/x
  3. Step 3: Cross multiply
    12,471.70x = 18,691.41 × 5,067.57
  4. Step 4: Simplify right side
    12,471.70x = 94,720,028.57
  5. Step 5: Solve for x
    x = 94,720,028.57/12,471.70
  6. Step 6: Final answer
    x = 7,594.80

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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.