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Finding the Fourth Proportional to 22,961.43, 34,442.16 and 9,110.43

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Solution

The fourth proportional to 22,961.43, 34,442.16 and 9,110.43 is: 13,665.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,961.43 : 34,442.16 = 9,110.43 : x
  2. Step 2: Convert to fraction form
    22,961.43/34,442.16 = 9,110.43/x
  3. Step 3: Cross multiply
    22,961.43x = 34,442.16 × 9,110.43
  4. Step 4: Simplify right side
    22,961.43x = 313,782,887.73
  5. Step 5: Solve for x
    x = 313,782,887.73/22,961.43
  6. Step 6: Final answer
    x = 13,665.65

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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.