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Finding the Fourth Proportional to 20,581.41, 30,868.52 and 5,786.82

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Solution

The fourth proportional to 20,581.41, 30,868.52 and 5,786.82 is: 8,679.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,581.41 : 30,868.52 = 5,786.82 : x
  2. Step 2: Convert to fraction form
    20,581.41/30,868.52 = 5,786.82/x
  3. Step 3: Cross multiply
    20,581.41x = 30,868.52 × 5,786.82
  4. Step 4: Simplify right side
    20,581.41x = 178,630,568.91
  5. Step 5: Solve for x
    x = 178,630,568.91/20,581.41
  6. Step 6: Final answer
    x = 8,679.22

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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.