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Finding the Fourth Proportional to 20,575.97, 30,865.19 and 5,786.04

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Solution

The fourth proportional to 20,575.97, 30,865.19 and 5,786.04 is: 8,679.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,575.97 : 30,865.19 = 5,786.04 : x
  2. Step 2: Convert to fraction form
    20,575.97/30,865.19 = 5,786.04/x
  3. Step 3: Cross multiply
    20,575.97x = 30,865.19 × 5,786.04
  4. Step 4: Simplify right side
    20,575.97x = 178,587,195.02
  5. Step 5: Solve for x
    x = 178,587,195.02/20,575.97
  6. Step 6: Final answer
    x = 8,679.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.