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Finding the Fourth Proportional to 24,082.82, 36,114.90 and 8,284.85

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Solution

The fourth proportional to 24,082.82, 36,114.90 and 8,284.85 is: 12,424.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,082.82 : 36,114.90 = 8,284.85 : x
  2. Step 2: Convert to fraction form
    24,082.82/36,114.90 = 8,284.85/x
  3. Step 3: Cross multiply
    24,082.82x = 36,114.90 × 8,284.85
  4. Step 4: Simplify right side
    24,082.82x = 299,206,453.05
  5. Step 5: Solve for x
    x = 299,206,453.05/24,082.82
  6. Step 6: Final answer
    x = 12,424.06

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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.