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Finding the Fourth Proportional to 26,822.36, 40,217.88 and 8,096.78

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Solution

The fourth proportional to 26,822.36, 40,217.88 and 8,096.78 is: 12,140.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,822.36 : 40,217.88 = 8,096.78 : x
  2. Step 2: Convert to fraction form
    26,822.36/40,217.88 = 8,096.78/x
  3. Step 3: Cross multiply
    26,822.36x = 40,217.88 × 8,096.78
  4. Step 4: Simplify right side
    26,822.36x = 325,635,326.43
  5. Step 5: Solve for x
    x = 325,635,326.43/26,822.36
  6. Step 6: Final answer
    x = 12,140.44

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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.