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Finding the Fourth Proportional to 17,635.97, 24,338.13 and 9,678.71

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Solution

The fourth proportional to 17,635.97, 24,338.13 and 9,678.71 is: 13,356.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,635.97 : 24,338.13 = 9,678.71 : x
  2. Step 2: Convert to fraction form
    17,635.97/24,338.13 = 9,678.71/x
  3. Step 3: Cross multiply
    17,635.97x = 24,338.13 × 9,678.71
  4. Step 4: Simplify right side
    17,635.97x = 235,561,702.21
  5. Step 5: Solve for x
    x = 235,561,702.21/17,635.97
  6. Step 6: Final answer
    x = 13,356.89

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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.