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Finding the Fourth Proportional to 20,408.92, 30,617.88 and 12,096.52

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Solution

The fourth proportional to 20,408.92, 30,617.88 and 12,096.52 is: 18,147.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,408.92 : 30,617.88 = 12,096.52 : x
  2. Step 2: Convert to fraction form
    20,408.92/30,617.88 = 12,096.52/x
  3. Step 3: Cross multiply
    20,408.92x = 30,617.88 × 12,096.52
  4. Step 4: Simplify right side
    20,408.92x = 370,369,797.78
  5. Step 5: Solve for x
    x = 370,369,797.78/20,408.92
  6. Step 6: Final answer
    x = 18,147.45

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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.