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Finding the Fourth Proportional to 26,776, 36,951.84 and 16,163.56

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Solution

The fourth proportional to 26,776, 36,951.84 and 16,163.56 is: 22,306.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,776 : 36,951.84 = 16,163.56 : x
  2. Step 2: Convert to fraction form
    26,776/36,951.84 = 16,163.56/x
  3. Step 3: Cross multiply
    26,776x = 36,951.84 × 16,163.56
  4. Step 4: Simplify right side
    26,776x = 597,273,282.95
  5. Step 5: Solve for x
    x = 597,273,282.95/26,776
  6. Step 6: Final answer
    x = 22,306.29

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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.