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Finding the Fourth Proportional to 17,474.92, 24,115.80 and 9,517.58

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Solution

The fourth proportional to 17,474.92, 24,115.80 and 9,517.58 is: 13,134.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,474.92 : 24,115.80 = 9,517.58 : x
  2. Step 2: Convert to fraction form
    17,474.92/24,115.80 = 9,517.58/x
  3. Step 3: Cross multiply
    17,474.92x = 24,115.80 × 9,517.58
  4. Step 4: Simplify right side
    17,474.92x = 229,524,055.76
  5. Step 5: Solve for x
    x = 229,524,055.76/17,474.92
  6. Step 6: Final answer
    x = 13,134.48

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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.