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Finding the Fourth Proportional to 25,249.44, 37,872.96 and 6,781.44

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Solution

The fourth proportional to 25,249.44, 37,872.96 and 6,781.44 is: 10,171.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,249.44 : 37,872.96 = 6,781.44 : x
  2. Step 2: Convert to fraction form
    25,249.44/37,872.96 = 6,781.44/x
  3. Step 3: Cross multiply
    25,249.44x = 37,872.96 × 6,781.44
  4. Step 4: Simplify right side
    25,249.44x = 256,833,205.86
  5. Step 5: Solve for x
    x = 256,833,205.86/25,249.44
  6. Step 6: Final answer
    x = 10,171.84

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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.