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Finding the Fourth Proportional to 17,517.89, 24,175.41 and 9,965.55

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Solution

The fourth proportional to 17,517.89, 24,175.41 and 9,965.55 is: 13,752.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,517.89 : 24,175.41 = 9,965.55 : x
  2. Step 2: Convert to fraction form
    17,517.89/24,175.41 = 9,965.55/x
  3. Step 3: Cross multiply
    17,517.89x = 24,175.41 × 9,965.55
  4. Step 4: Simplify right side
    17,517.89x = 240,921,257.13
  5. Step 5: Solve for x
    x = 240,921,257.13/17,517.89
  6. Step 6: Final answer
    x = 13,752.87

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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.