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Finding the Fourth Proportional to 24,137.87, 36,197.92 and 8,338.85

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Solution

The fourth proportional to 24,137.87, 36,197.92 and 8,338.85 is: 12,505.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,137.87 : 36,197.92 = 8,338.85 : x
  2. Step 2: Convert to fraction form
    24,137.87/36,197.92 = 8,338.85/x
  3. Step 3: Cross multiply
    24,137.87x = 36,197.92 × 8,338.85
  4. Step 4: Simplify right side
    24,137.87x = 301,848,990.37
  5. Step 5: Solve for x
    x = 301,848,990.37/24,137.87
  6. Step 6: Final answer
    x = 12,505.21

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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.