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Finding the Fourth Proportional to 22,108.88, 33,174.84 and 9,794

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Solution

The fourth proportional to 22,108.88, 33,174.84 and 9,794 is: 14,696.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,108.88 : 33,174.84 = 9,794 : x
  2. Step 2: Convert to fraction form
    22,108.88/33,174.84 = 9,794/x
  3. Step 3: Cross multiply
    22,108.88x = 33,174.84 × 9,794
  4. Step 4: Simplify right side
    22,108.88x = 324,914,382.96
  5. Step 5: Solve for x
    x = 324,914,382.96/22,108.88
  6. Step 6: Final answer
    x = 14,696.10

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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.