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Finding the Fourth Proportional to 20,506.80, 30,760.20 and 11,742.60

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Solution

The fourth proportional to 20,506.80, 30,760.20 and 11,742.60 is: 17,613.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,506.80 : 30,760.20 = 11,742.60 : x
  2. Step 2: Convert to fraction form
    20,506.80/30,760.20 = 11,742.60/x
  3. Step 3: Cross multiply
    20,506.80x = 30,760.20 × 11,742.60
  4. Step 4: Simplify right side
    20,506.80x = 361,204,724.52
  5. Step 5: Solve for x
    x = 361,204,724.52/20,506.80
  6. Step 6: Final answer
    x = 17,613.90

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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.