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Finding the Fourth Proportional to 20,199.80, 30,287.70 and 12,414.20

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Solution

The fourth proportional to 20,199.80, 30,287.70 and 12,414.20 is: 18,613.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,199.80 : 30,287.70 = 12,414.20 : x
  2. Step 2: Convert to fraction form
    20,199.80/30,287.70 = 12,414.20/x
  3. Step 3: Cross multiply
    20,199.80x = 30,287.70 × 12,414.20
  4. Step 4: Simplify right side
    20,199.80x = 375,997,565.34
  5. Step 5: Solve for x
    x = 375,997,565.34/20,199.80
  6. Step 6: Final answer
    x = 18,613.93

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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.