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Finding the Fourth Proportional to 25,992.29, 38,993.24 and 8,227.42

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Solution

The fourth proportional to 25,992.29, 38,993.24 and 8,227.42 is: 12,342.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,992.29 : 38,993.24 = 8,227.42 : x
  2. Step 2: Convert to fraction form
    25,992.29/38,993.24 = 8,227.42/x
  3. Step 3: Cross multiply
    25,992.29x = 38,993.24 × 8,227.42
  4. Step 4: Simplify right side
    25,992.29x = 320,813,685.73
  5. Step 5: Solve for x
    x = 320,813,685.73/25,992.29
  6. Step 6: Final answer
    x = 12,342.65

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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.