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Finding the Fourth Proportional to 26,820.80, 40,234.96 and 8,098.71

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Solution

The fourth proportional to 26,820.80, 40,234.96 and 8,098.71 is: 12,149.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,820.80 : 40,234.96 = 8,098.71 : x
  2. Step 2: Convert to fraction form
    26,820.80/40,234.96 = 8,098.71/x
  3. Step 3: Cross multiply
    26,820.80x = 40,234.96 × 8,098.71
  4. Step 4: Simplify right side
    26,820.80x = 325,851,335.69
  5. Step 5: Solve for x
    x = 325,851,335.69/26,820.80
  6. Step 6: Final answer
    x = 12,149.20

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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.