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Finding the Fourth Proportional to 16,542.32, 24,799.52 and 7,175.28

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Solution

The fourth proportional to 16,542.32, 24,799.52 and 7,175.28 is: 10,756.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,542.32 : 24,799.52 = 7,175.28 : x
  2. Step 2: Convert to fraction form
    16,542.32/24,799.52 = 7,175.28/x
  3. Step 3: Cross multiply
    16,542.32x = 24,799.52 × 7,175.28
  4. Step 4: Simplify right side
    16,542.32x = 177,943,517.80
  5. Step 5: Solve for x
    x = 177,943,517.80/16,542.32
  6. Step 6: Final answer
    x = 10,756.87

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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.