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Finding the Fourth Proportional to 28,022.56, 38,622.42 and 20,456.44

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Solution

The fourth proportional to 28,022.56, 38,622.42 and 20,456.44 is: 28,194.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,022.56 : 38,622.42 = 20,456.44 : x
  2. Step 2: Convert to fraction form
    28,022.56/38,622.42 = 20,456.44/x
  3. Step 3: Cross multiply
    28,022.56x = 38,622.42 × 20,456.44
  4. Step 4: Simplify right side
    28,022.56x = 790,077,217.38
  5. Step 5: Solve for x
    x = 790,077,217.38/28,022.56
  6. Step 6: Final answer
    x = 28,194.33

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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.