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Finding the Fourth Proportional to 20,213.80, 30,318.46 and 5,424.18

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Solution

The fourth proportional to 20,213.80, 30,318.46 and 5,424.18 is: 8,135.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,213.80 : 30,318.46 = 5,424.18 : x
  2. Step 2: Convert to fraction form
    20,213.80/30,318.46 = 5,424.18/x
  3. Step 3: Cross multiply
    20,213.80x = 30,318.46 × 5,424.18
  4. Step 4: Simplify right side
    20,213.80x = 164,452,784.36
  5. Step 5: Solve for x
    x = 164,452,784.36/20,213.80
  6. Step 6: Final answer
    x = 8,135.67

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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.