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Finding the Fourth Proportional to 20,471.20, 30,735.60 and 16,093.60

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Solution

The fourth proportional to 20,471.20, 30,735.60 and 16,093.60 is: 24,163.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,471.20 : 30,735.60 = 16,093.60 : x
  2. Step 2: Convert to fraction form
    20,471.20/30,735.60 = 16,093.60/x
  3. Step 3: Cross multiply
    20,471.20x = 30,735.60 × 16,093.60
  4. Step 4: Simplify right side
    20,471.20x = 494,646,452.16
  5. Step 5: Solve for x
    x = 494,646,452.16/20,471.20
  6. Step 6: Final answer
    x = 24,163.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.