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Finding the Fourth Proportional to 27,922.52, 38,493.42 and 22,207.16

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Solution

The fourth proportional to 27,922.52, 38,493.42 and 22,207.16 is: 30,614.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,922.52 : 38,493.42 = 22,207.16 : x
  2. Step 2: Convert to fraction form
    27,922.52/38,493.42 = 22,207.16/x
  3. Step 3: Cross multiply
    27,922.52x = 38,493.42 × 22,207.16
  4. Step 4: Simplify right side
    27,922.52x = 854,829,536.89
  5. Step 5: Solve for x
    x = 854,829,536.89/27,922.52
  6. Step 6: Final answer
    x = 30,614.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.