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Finding the Fourth Proportional to 17,382.88, 26,049.36 and 9,892.42

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Solution

The fourth proportional to 17,382.88, 26,049.36 and 9,892.42 is: 14,824.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,382.88 : 26,049.36 = 9,892.42 : x
  2. Step 2: Convert to fraction form
    17,382.88/26,049.36 = 9,892.42/x
  3. Step 3: Cross multiply
    17,382.88x = 26,049.36 × 9,892.42
  4. Step 4: Simplify right side
    17,382.88x = 257,691,209.85
  5. Step 5: Solve for x
    x = 257,691,209.85/17,382.88
  6. Step 6: Final answer
    x = 14,824.43

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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.