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Finding the Fourth Proportional to 25,850.38, 38,781.21 and 8,082.37

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Solution

The fourth proportional to 25,850.38, 38,781.21 and 8,082.37 is: 12,125.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,850.38 : 38,781.21 = 8,082.37 : x
  2. Step 2: Convert to fraction form
    25,850.38/38,781.21 = 8,082.37/x
  3. Step 3: Cross multiply
    25,850.38x = 38,781.21 × 8,082.37
  4. Step 4: Simplify right side
    25,850.38x = 313,444,088.27
  5. Step 5: Solve for x
    x = 313,444,088.27/25,850.38
  6. Step 6: Final answer
    x = 12,125.32

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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.