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Finding the Fourth Proportional to 17,049.88, 25,565.10 and 9,142.66

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Solution

The fourth proportional to 17,049.88, 25,565.10 and 9,142.66 is: 13,708.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,049.88 : 25,565.10 = 9,142.66 : x
  2. Step 2: Convert to fraction form
    17,049.88/25,565.10 = 9,142.66/x
  3. Step 3: Cross multiply
    17,049.88x = 25,565.10 × 9,142.66
  4. Step 4: Simplify right side
    17,049.88x = 233,733,017.17
  5. Step 5: Solve for x
    x = 233,733,017.17/17,049.88
  6. Step 6: Final answer
    x = 13,708.78

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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.