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Finding the Fourth Proportional to 12,648.97, 17,452.18 and 8,171.09

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Solution

The fourth proportional to 12,648.97, 17,452.18 and 8,171.09 is: 11,273.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,648.97 : 17,452.18 = 8,171.09 : x
  2. Step 2: Convert to fraction form
    12,648.97/17,452.18 = 8,171.09/x
  3. Step 3: Cross multiply
    12,648.97x = 17,452.18 × 8,171.09
  4. Step 4: Simplify right side
    12,648.97x = 142,603,333.48
  5. Step 5: Solve for x
    x = 142,603,333.48/12,648.97
  6. Step 6: Final answer
    x = 11,273.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.