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Finding the Fourth Proportional to 12,517.22, 17,273.78 and 7,801.50

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Solution

The fourth proportional to 12,517.22, 17,273.78 and 7,801.50 is: 10,766.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,517.22 : 17,273.78 = 7,801.50 : x
  2. Step 2: Convert to fraction form
    12,517.22/17,273.78 = 7,801.50/x
  3. Step 3: Cross multiply
    12,517.22x = 17,273.78 × 7,801.50
  4. Step 4: Simplify right side
    12,517.22x = 134,761,414.17
  5. Step 5: Solve for x
    x = 134,761,414.17/12,517.22
  6. Step 6: Final answer
    x = 10,766.08

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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.