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Finding the Fourth Proportional to 25,691.86, 38,532.93 and 8,161.84

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Solution

The fourth proportional to 25,691.86, 38,532.93 and 8,161.84 is: 12,241.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,691.86 : 38,532.93 = 8,161.84 : x
  2. Step 2: Convert to fraction form
    25,691.86/38,532.93 = 8,161.84/x
  3. Step 3: Cross multiply
    25,691.86x = 38,532.93 × 8,161.84
  4. Step 4: Simplify right side
    25,691.86x = 314,499,609.39
  5. Step 5: Solve for x
    x = 314,499,609.39/25,691.86
  6. Step 6: Final answer
    x = 12,241.22

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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.