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Finding the Fourth Proportional to 20,614.08, 30,922.24 and 5,824.16

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Solution

The fourth proportional to 20,614.08, 30,922.24 and 5,824.16 is: 8,736.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,614.08 : 30,922.24 = 5,824.16 : x
  2. Step 2: Convert to fraction form
    20,614.08/30,922.24 = 5,824.16/x
  3. Step 3: Cross multiply
    20,614.08x = 30,922.24 × 5,824.16
  4. Step 4: Simplify right side
    20,614.08x = 180,096,073.32
  5. Step 5: Solve for x
    x = 180,096,073.32/20,614.08
  6. Step 6: Final answer
    x = 8,736.56

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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.