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Finding the Fourth Proportional to 26,943.10, 40,414.65 and 8,223.10

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Solution

The fourth proportional to 26,943.10, 40,414.65 and 8,223.10 is: 12,334.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,943.10 : 40,414.65 = 8,223.10 : x
  2. Step 2: Convert to fraction form
    26,943.10/40,414.65 = 8,223.10/x
  3. Step 3: Cross multiply
    26,943.10x = 40,414.65 × 8,223.10
  4. Step 4: Simplify right side
    26,943.10x = 332,333,708.42
  5. Step 5: Solve for x
    x = 332,333,708.42/26,943.10
  6. Step 6: Final answer
    x = 12,334.65

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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.