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Finding the Fourth Proportional to 22,640.90, 33,961.36 and 7,849.82

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Solution

The fourth proportional to 22,640.90, 33,961.36 and 7,849.82 is: 11,774.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,640.90 : 33,961.36 = 7,849.82 : x
  2. Step 2: Convert to fraction form
    22,640.90/33,961.36 = 7,849.82/x
  3. Step 3: Cross multiply
    22,640.90x = 33,961.36 × 7,849.82
  4. Step 4: Simplify right side
    22,640.90x = 266,590,562.96
  5. Step 5: Solve for x
    x = 266,590,562.96/22,640.90
  6. Step 6: Final answer
    x = 11,774.73

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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.