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Finding the Fourth Proportional to 17,229.26, 25,821.50 and 7,734.56

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Solution

The fourth proportional to 17,229.26, 25,821.50 and 7,734.56 is: 11,591.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,229.26 : 25,821.50 = 7,734.56 : x
  2. Step 2: Convert to fraction form
    17,229.26/25,821.50 = 7,734.56/x
  3. Step 3: Cross multiply
    17,229.26x = 25,821.50 × 7,734.56
  4. Step 4: Simplify right side
    17,229.26x = 199,717,773.26
  5. Step 5: Solve for x
    x = 199,717,773.26/17,229.26
  6. Step 6: Final answer
    x = 11,591.78

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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.