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Finding the Fourth Proportional to 20,109.70, 27,778.44 and 15,452.20

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Solution

The fourth proportional to 20,109.70, 27,778.44 and 15,452.20 is: 21,344.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,109.70 : 27,778.44 = 15,452.20 : x
  2. Step 2: Convert to fraction form
    20,109.70/27,778.44 = 15,452.20/x
  3. Step 3: Cross multiply
    20,109.70x = 27,778.44 × 15,452.20
  4. Step 4: Simplify right side
    20,109.70x = 429,238,010.57
  5. Step 5: Solve for x
    x = 429,238,010.57/20,109.70
  6. Step 6: Final answer
    x = 21,344.82

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