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Finding the Fourth Proportional to 26,940.30, 40,414.71 and 8,216.06

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Solution

The fourth proportional to 26,940.30, 40,414.71 and 8,216.06 is: 12,325.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,940.30 : 40,414.71 = 8,216.06 : x
  2. Step 2: Convert to fraction form
    26,940.30/40,414.71 = 8,216.06/x
  3. Step 3: Cross multiply
    26,940.30x = 40,414.71 × 8,216.06
  4. Step 4: Simplify right side
    26,940.30x = 332,049,480.17
  5. Step 5: Solve for x
    x = 332,049,480.17/26,940.30
  6. Step 6: Final answer
    x = 12,325.38

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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.