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Finding the Fourth Proportional to 22,122, 33,105.06 and 13,805.94

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Solution

The fourth proportional to 22,122, 33,105.06 and 13,805.94 is: 20,660.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,122 : 33,105.06 = 13,805.94 : x
  2. Step 2: Convert to fraction form
    22,122/33,105.06 = 13,805.94/x
  3. Step 3: Cross multiply
    22,122x = 33,105.06 × 13,805.94
  4. Step 4: Simplify right side
    22,122x = 457,046,472.06
  5. Step 5: Solve for x
    x = 457,046,472.06/22,122
  6. Step 6: Final answer
    x = 20,660.27

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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.