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Finding the Fourth Proportional to 20,134.10, 30,202.74 and 5,343.02

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Solution

The fourth proportional to 20,134.10, 30,202.74 and 5,343.02 is: 8,014.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,134.10 : 30,202.74 = 5,343.02 : x
  2. Step 2: Convert to fraction form
    20,134.10/30,202.74 = 5,343.02/x
  3. Step 3: Cross multiply
    20,134.10x = 30,202.74 × 5,343.02
  4. Step 4: Simplify right side
    20,134.10x = 161,373,843.87
  5. Step 5: Solve for x
    x = 161,373,843.87/20,134.10
  6. Step 6: Final answer
    x = 8,014.95

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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.