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Finding the Fourth Proportional to 26,229.88, 39,343.74 and 6,508

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Solution

The fourth proportional to 26,229.88, 39,343.74 and 6,508 is: 9,761.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,229.88 : 39,343.74 = 6,508 : x
  2. Step 2: Convert to fraction form
    26,229.88/39,343.74 = 6,508/x
  3. Step 3: Cross multiply
    26,229.88x = 39,343.74 × 6,508
  4. Step 4: Simplify right side
    26,229.88x = 256,049,059.92
  5. Step 5: Solve for x
    x = 256,049,059.92/26,229.88
  6. Step 6: Final answer
    x = 9,761.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.