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Finding the Fourth Proportional to 25,677.92, 38,519.04 and 8,144.12

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Solution

The fourth proportional to 25,677.92, 38,519.04 and 8,144.12 is: 12,216.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,677.92 : 38,519.04 = 8,144.12 : x
  2. Step 2: Convert to fraction form
    25,677.92/38,519.04 = 8,144.12/x
  3. Step 3: Cross multiply
    25,677.92x = 38,519.04 × 8,144.12
  4. Step 4: Simplify right side
    25,677.92x = 313,703,684.04
  5. Step 5: Solve for x
    x = 313,703,684.04/25,677.92
  6. Step 6: Final answer
    x = 12,216.87

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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.