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Finding the Fourth Proportional to 21,744.59, 30,020.78 and 20,404.31

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Solution

The fourth proportional to 21,744.59, 30,020.78 and 20,404.31 is: 28,170.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,744.59 : 30,020.78 = 20,404.31 : x
  2. Step 2: Convert to fraction form
    21,744.59/30,020.78 = 20,404.31/x
  3. Step 3: Cross multiply
    21,744.59x = 30,020.78 × 20,404.31
  4. Step 4: Simplify right side
    21,744.59x = 612,553,301.56
  5. Step 5: Solve for x
    x = 612,553,301.56/21,744.59
  6. Step 6: Final answer
    x = 28,170.38

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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.