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Finding the Fourth Proportional to 17,882.97, 24,678.27 and 9,925.17

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Solution

The fourth proportional to 17,882.97, 24,678.27 and 9,925.17 is: 13,696.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,882.97 : 24,678.27 = 9,925.17 : x
  2. Step 2: Convert to fraction form
    17,882.97/24,678.27 = 9,925.17/x
  3. Step 3: Cross multiply
    17,882.97x = 24,678.27 × 9,925.17
  4. Step 4: Simplify right side
    17,882.97x = 244,936,025.06
  5. Step 5: Solve for x
    x = 244,936,025.06/17,882.97
  6. Step 6: Final answer
    x = 13,696.61

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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.