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Finding the Fourth Proportional to 26,138.38, 36,065.78 and 15,380.38

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Solution

The fourth proportional to 26,138.38, 36,065.78 and 15,380.38 is: 21,221.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,138.38 : 36,065.78 = 15,380.38 : x
  2. Step 2: Convert to fraction form
    26,138.38/36,065.78 = 15,380.38/x
  3. Step 3: Cross multiply
    26,138.38x = 36,065.78 × 15,380.38
  4. Step 4: Simplify right side
    26,138.38x = 554,705,401.40
  5. Step 5: Solve for x
    x = 554,705,401.40/26,138.38
  6. Step 6: Final answer
    x = 21,221.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.