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Finding the Fourth Proportional to 25,858.27, 38,793.48 and 8,327.44

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Solution

The fourth proportional to 25,858.27, 38,793.48 and 8,327.44 is: 12,493.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,858.27 : 38,793.48 = 8,327.44 : x
  2. Step 2: Convert to fraction form
    25,858.27/38,793.48 = 8,327.44/x
  3. Step 3: Cross multiply
    25,858.27x = 38,793.48 × 8,327.44
  4. Step 4: Simplify right side
    25,858.27x = 323,050,377.09
  5. Step 5: Solve for x
    x = 323,050,377.09/25,858.27
  6. Step 6: Final answer
    x = 12,493.12

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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.