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Finding the Fourth Proportional to 22,201.72, 33,292.86 and 8,341

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Solution

The fourth proportional to 22,201.72, 33,292.86 and 8,341 is: 12,507.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,201.72 : 33,292.86 = 8,341 : x
  2. Step 2: Convert to fraction form
    22,201.72/33,292.86 = 8,341/x
  3. Step 3: Cross multiply
    22,201.72x = 33,292.86 × 8,341
  4. Step 4: Simplify right side
    22,201.72x = 277,695,745.26
  5. Step 5: Solve for x
    x = 277,695,745.26/22,201.72
  6. Step 6: Final answer
    x = 12,507.85

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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.