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Finding the Fourth Proportional to 20,141.60, 30,214 and 5,350.24

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Solution

The fourth proportional to 20,141.60, 30,214 and 5,350.24 is: 8,025.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,141.60 : 30,214 = 5,350.24 : x
  2. Step 2: Convert to fraction form
    20,141.60/30,214 = 5,350.24/x
  3. Step 3: Cross multiply
    20,141.60x = 30,214 × 5,350.24
  4. Step 4: Simplify right side
    20,141.60x = 161,652,151.36
  5. Step 5: Solve for x
    x = 161,652,151.36/20,141.60
  6. Step 6: Final answer
    x = 8,025.79

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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.