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Finding the Fourth Proportional to 20,778.32, 31,149.48 and 9,082.64

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Solution

The fourth proportional to 20,778.32, 31,149.48 and 9,082.64 is: 13,616.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,778.32 : 31,149.48 = 9,082.64 : x
  2. Step 2: Convert to fraction form
    20,778.32/31,149.48 = 9,082.64/x
  3. Step 3: Cross multiply
    20,778.32x = 31,149.48 × 9,082.64
  4. Step 4: Simplify right side
    20,778.32x = 282,919,513.03
  5. Step 5: Solve for x
    x = 282,919,513.03/20,778.32
  6. Step 6: Final answer
    x = 13,616.09

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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.