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Finding the Fourth Proportional to 26,822.96, 40,234.74 and 8,103.15

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Solution

The fourth proportional to 26,822.96, 40,234.74 and 8,103.15 is: 12,154.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,822.96 : 40,234.74 = 8,103.15 : x
  2. Step 2: Convert to fraction form
    26,822.96/40,234.74 = 8,103.15/x
  3. Step 3: Cross multiply
    26,822.96x = 40,234.74 × 8,103.15
  4. Step 4: Simplify right side
    26,822.96x = 326,027,891.74
  5. Step 5: Solve for x
    x = 326,027,891.74/26,822.96
  6. Step 6: Final answer
    x = 12,154.81

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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.