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Finding the Fourth Proportional to 20,841.72, 31,257 and 5,847.92

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Solution

The fourth proportional to 20,841.72, 31,257 and 5,847.92 is: 8,770.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,841.72 : 31,257 = 5,847.92 : x
  2. Step 2: Convert to fraction form
    20,841.72/31,257 = 5,847.92/x
  3. Step 3: Cross multiply
    20,841.72x = 31,257 × 5,847.92
  4. Step 4: Simplify right side
    20,841.72x = 182,788,435.44
  5. Step 5: Solve for x
    x = 182,788,435.44/20,841.72
  6. Step 6: Final answer
    x = 8,770.31

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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.