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Finding the Fourth Proportional to 22,738.34, 34,105.92 and 8,504.11

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Solution

The fourth proportional to 22,738.34, 34,105.92 and 8,504.11 is: 12,755.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,738.34 : 34,105.92 = 8,504.11 : x
  2. Step 2: Convert to fraction form
    22,738.34/34,105.92 = 8,504.11/x
  3. Step 3: Cross multiply
    22,738.34x = 34,105.92 × 8,504.11
  4. Step 4: Simplify right side
    22,738.34x = 290,040,495.33
  5. Step 5: Solve for x
    x = 290,040,495.33/22,738.34
  6. Step 6: Final answer
    x = 12,755.57

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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.