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Finding the Fourth Proportional to 25,851.86, 38,777.82 and 8,082.61

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Solution

The fourth proportional to 25,851.86, 38,777.82 and 8,082.61 is: 12,123.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,851.86 : 38,777.82 = 8,082.61 : x
  2. Step 2: Convert to fraction form
    25,851.86/38,777.82 = 8,082.61/x
  3. Step 3: Cross multiply
    25,851.86x = 38,777.82 × 8,082.61
  4. Step 4: Simplify right side
    25,851.86x = 313,425,914.90
  5. Step 5: Solve for x
    x = 313,425,914.90/25,851.86
  6. Step 6: Final answer
    x = 12,123.92

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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.