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Finding the Fourth Proportional to 23,832.25, 35,750.81 and 8,249.83

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Solution

The fourth proportional to 23,832.25, 35,750.81 and 8,249.83 is: 12,375.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,832.25 : 35,750.81 = 8,249.83 : x
  2. Step 2: Convert to fraction form
    23,832.25/35,750.81 = 8,249.83/x
  3. Step 3: Cross multiply
    23,832.25x = 35,750.81 × 8,249.83
  4. Step 4: Simplify right side
    23,832.25x = 294,938,104.86
  5. Step 5: Solve for x
    x = 294,938,104.86/23,832.25
  6. Step 6: Final answer
    x = 12,375.59

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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.