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Finding the Fourth Proportional to 16,176.80, 24,267.65 and 5,082.44

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Solution

The fourth proportional to 16,176.80, 24,267.65 and 5,082.44 is: 7,624.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,176.80 : 24,267.65 = 5,082.44 : x
  2. Step 2: Convert to fraction form
    16,176.80/24,267.65 = 5,082.44/x
  3. Step 3: Cross multiply
    16,176.80x = 24,267.65 × 5,082.44
  4. Step 4: Simplify right side
    16,176.80x = 123,338,910.32
  5. Step 5: Solve for x
    x = 123,338,910.32/16,176.80
  6. Step 6: Final answer
    x = 7,624.43

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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.