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Finding the Fourth Proportional to 26,839.68, 40,231.98 and 9,299.94

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Solution

The fourth proportional to 26,839.68, 40,231.98 and 9,299.94 is: 13,940.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,839.68 : 40,231.98 = 9,299.94 : x
  2. Step 2: Convert to fraction form
    26,839.68/40,231.98 = 9,299.94/x
  3. Step 3: Cross multiply
    26,839.68x = 40,231.98 × 9,299.94
  4. Step 4: Simplify right side
    26,839.68x = 374,155,000.08
  5. Step 5: Solve for x
    x = 374,155,000.08/26,839.68
  6. Step 6: Final answer
    x = 13,940.37

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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.