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Finding the Fourth Proportional to 22,164.92, 33,265.09 and 11,494.31

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Solution

The fourth proportional to 22,164.92, 33,265.09 and 11,494.31 is: 17,250.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,164.92 : 33,265.09 = 11,494.31 : x
  2. Step 2: Convert to fraction form
    22,164.92/33,265.09 = 11,494.31/x
  3. Step 3: Cross multiply
    22,164.92x = 33,265.09 × 11,494.31
  4. Step 4: Simplify right side
    22,164.92x = 382,359,256.64
  5. Step 5: Solve for x
    x = 382,359,256.64/22,164.92
  6. Step 6: Final answer
    x = 17,250.65

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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.