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Finding the Fourth Proportional to 17,517.27, 24,171.71 and 9,964.56

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Solution

The fourth proportional to 17,517.27, 24,171.71 and 9,964.56 is: 13,749.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,517.27 : 24,171.71 = 9,964.56 : x
  2. Step 2: Convert to fraction form
    17,517.27/24,171.71 = 9,964.56/x
  3. Step 3: Cross multiply
    17,517.27x = 24,171.71 × 9,964.56
  4. Step 4: Simplify right side
    17,517.27x = 240,860,404.77
  5. Step 5: Solve for x
    x = 240,860,404.77/17,517.27
  6. Step 6: Final answer
    x = 13,749.88

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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.