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Finding the Fourth Proportional to 25,414.16, 38,119.11 and 7,882.31

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Solution

The fourth proportional to 25,414.16, 38,119.11 and 7,882.31 is: 11,822.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,414.16 : 38,119.11 = 7,882.31 : x
  2. Step 2: Convert to fraction form
    25,414.16/38,119.11 = 7,882.31/x
  3. Step 3: Cross multiply
    25,414.16x = 38,119.11 × 7,882.31
  4. Step 4: Simplify right side
    25,414.16x = 300,466,707.68
  5. Step 5: Solve for x
    x = 300,466,707.68/25,414.16
  6. Step 6: Final answer
    x = 11,822.81

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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.