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Finding the Fourth Proportional to 24,049.87, 36,074.80 and 6,519.24

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Solution

The fourth proportional to 24,049.87, 36,074.80 and 6,519.24 is: 9,778.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,049.87 : 36,074.80 = 6,519.24 : x
  2. Step 2: Convert to fraction form
    24,049.87/36,074.80 = 6,519.24/x
  3. Step 3: Cross multiply
    24,049.87x = 36,074.80 × 6,519.24
  4. Step 4: Simplify right side
    24,049.87x = 235,180,287.30
  5. Step 5: Solve for x
    x = 235,180,287.30/24,049.87
  6. Step 6: Final answer
    x = 9,778.86

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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.