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Finding the Fourth Proportional to 17,891.92, 24,691.56 and 10,338

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Solution

The fourth proportional to 17,891.92, 24,691.56 and 10,338 is: 14,266.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,891.92 : 24,691.56 = 10,338 : x
  2. Step 2: Convert to fraction form
    17,891.92/24,691.56 = 10,338/x
  3. Step 3: Cross multiply
    17,891.92x = 24,691.56 × 10,338
  4. Step 4: Simplify right side
    17,891.92x = 255,261,347.28
  5. Step 5: Solve for x
    x = 255,261,347.28/17,891.92
  6. Step 6: Final answer
    x = 14,266.85

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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.