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Finding the Fourth Proportional to 20,401.38, 30,600.62 and 5,408.16

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Solution

The fourth proportional to 20,401.38, 30,600.62 and 5,408.16 is: 8,111.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,401.38 : 30,600.62 = 5,408.16 : x
  2. Step 2: Convert to fraction form
    20,401.38/30,600.62 = 5,408.16/x
  3. Step 3: Cross multiply
    20,401.38x = 30,600.62 × 5,408.16
  4. Step 4: Simplify right side
    20,401.38x = 165,493,022.02
  5. Step 5: Solve for x
    x = 165,493,022.02/20,401.38
  6. Step 6: Final answer
    x = 8,111.85

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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.