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Finding the Fourth Proportional to 16,542.80, 24,800.25 and 7,175.77

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Solution

The fourth proportional to 16,542.80, 24,800.25 and 7,175.77 is: 10,757.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,542.80 : 24,800.25 = 7,175.77 : x
  2. Step 2: Convert to fraction form
    16,542.80/24,800.25 = 7,175.77/x
  3. Step 3: Cross multiply
    16,542.80x = 24,800.25 × 7,175.77
  4. Step 4: Simplify right side
    16,542.80x = 177,960,827.94
  5. Step 5: Solve for x
    x = 177,960,827.94/16,542.80
  6. Step 6: Final answer
    x = 10,757.60

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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.