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Finding the Fourth Proportional to 26,234.89, 36,175.57 and 17,722.24

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Solution

The fourth proportional to 26,234.89, 36,175.57 and 17,722.24 is: 24,437.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,234.89 : 36,175.57 = 17,722.24 : x
  2. Step 2: Convert to fraction form
    26,234.89/36,175.57 = 17,722.24/x
  3. Step 3: Cross multiply
    26,234.89x = 36,175.57 × 17,722.24
  4. Step 4: Simplify right side
    26,234.89x = 641,112,133.68
  5. Step 5: Solve for x
    x = 641,112,133.68/26,234.89
  6. Step 6: Final answer
    x = 24,437.39

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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.