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Finding the Fourth Proportional to 12,471.74, 18,691.44 and 5,067.60

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Solution

The fourth proportional to 12,471.74, 18,691.44 and 5,067.60 is: 7,594.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,471.74 : 18,691.44 = 5,067.60 : x
  2. Step 2: Convert to fraction form
    12,471.74/18,691.44 = 5,067.60/x
  3. Step 3: Cross multiply
    12,471.74x = 18,691.44 × 5,067.60
  4. Step 4: Simplify right side
    12,471.74x = 94,720,741.34
  5. Step 5: Solve for x
    x = 94,720,741.34/12,471.74
  6. Step 6: Final answer
    x = 7,594.83

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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.