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Finding the Fourth Proportional to 25,713.44, 38,561.90 and 8,179.17

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Solution

The fourth proportional to 25,713.44, 38,561.90 and 8,179.17 is: 12,266.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,713.44 : 38,561.90 = 8,179.17 : x
  2. Step 2: Convert to fraction form
    25,713.44/38,561.90 = 8,179.17/x
  3. Step 3: Cross multiply
    25,713.44x = 38,561.90 × 8,179.17
  4. Step 4: Simplify right side
    25,713.44x = 315,404,294.73
  5. Step 5: Solve for x
    x = 315,404,294.73/25,713.44
  6. Step 6: Final answer
    x = 12,266.13

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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.