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Finding the Fourth Proportional to 20,452.92, 30,509.02 and 20,114.23

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Solution

The fourth proportional to 20,452.92, 30,509.02 and 20,114.23 is: 30,003.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,452.92 : 30,509.02 = 20,114.23 : x
  2. Step 2: Convert to fraction form
    20,452.92/30,509.02 = 20,114.23/x
  3. Step 3: Cross multiply
    20,452.92x = 30,509.02 × 20,114.23
  4. Step 4: Simplify right side
    20,452.92x = 613,665,445.35
  5. Step 5: Solve for x
    x = 613,665,445.35/20,452.92
  6. Step 6: Final answer
    x = 30,003.81

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.