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Finding the Fourth Proportional to 20,142.60, 30,213.90 and 13,144.20

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Solution

The fourth proportional to 20,142.60, 30,213.90 and 13,144.20 is: 19,716.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,142.60 : 30,213.90 = 13,144.20 : x
  2. Step 2: Convert to fraction form
    20,142.60/30,213.90 = 13,144.20/x
  3. Step 3: Cross multiply
    20,142.60x = 30,213.90 × 13,144.20
  4. Step 4: Simplify right side
    20,142.60x = 397,137,544.38
  5. Step 5: Solve for x
    x = 397,137,544.38/20,142.60
  6. Step 6: Final answer
    x = 19,716.30

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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.