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Finding the Fourth Proportional to 23,832.26, 35,748.39 and 8,249.89

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Solution

The fourth proportional to 23,832.26, 35,748.39 and 8,249.89 is: 12,374.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,832.26 : 35,748.39 = 8,249.89 : x
  2. Step 2: Convert to fraction form
    23,832.26/35,748.39 = 8,249.89/x
  3. Step 3: Cross multiply
    23,832.26x = 35,748.39 × 8,249.89
  4. Step 4: Simplify right side
    23,832.26x = 294,920,106.44
  5. Step 5: Solve for x
    x = 294,920,106.44/23,832.26
  6. Step 6: Final answer
    x = 12,374.83

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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.