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Finding the Fourth Proportional to 17,711.97, 24,442.55 and 9,754.21

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Solution

The fourth proportional to 17,711.97, 24,442.55 and 9,754.21 is: 13,460.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,711.97 : 24,442.55 = 9,754.21 : x
  2. Step 2: Convert to fraction form
    17,711.97/24,442.55 = 9,754.21/x
  3. Step 3: Cross multiply
    17,711.97x = 24,442.55 × 9,754.21
  4. Step 4: Simplify right side
    17,711.97x = 238,417,728.91
  5. Step 5: Solve for x
    x = 238,417,728.91/17,711.97
  6. Step 6: Final answer
    x = 13,460.83

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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.