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Finding the Fourth Proportional to 12,414.75, 18,622.17 and 11,791.86

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Solution

The fourth proportional to 12,414.75, 18,622.17 and 11,791.86 is: 17,687.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,414.75 : 18,622.17 = 11,791.86 : x
  2. Step 2: Convert to fraction form
    12,414.75/18,622.17 = 11,791.86/x
  3. Step 3: Cross multiply
    12,414.75x = 18,622.17 × 11,791.86
  4. Step 4: Simplify right side
    12,414.75x = 219,590,021.54
  5. Step 5: Solve for x
    x = 219,590,021.54/12,414.75
  6. Step 6: Final answer
    x = 17,687.83

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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.