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Finding the Fourth Proportional to 26,912.50, 40,371.50 and 10,286.52

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Solution

The fourth proportional to 26,912.50, 40,371.50 and 10,286.52 is: 15,430.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,912.50 : 40,371.50 = 10,286.52 : x
  2. Step 2: Convert to fraction form
    26,912.50/40,371.50 = 10,286.52/x
  3. Step 3: Cross multiply
    26,912.50x = 40,371.50 × 10,286.52
  4. Step 4: Simplify right side
    26,912.50x = 415,282,241.21
  5. Step 5: Solve for x
    x = 415,282,241.21/26,912.50
  6. Step 6: Final answer
    x = 15,430.83

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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.