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Finding the Fourth Proportional to 20,600.10, 30,900.15 and 12,824.10

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Solution

The fourth proportional to 20,600.10, 30,900.15 and 12,824.10 is: 19,236.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,600.10 : 30,900.15 = 12,824.10 : x
  2. Step 2: Convert to fraction form
    20,600.10/30,900.15 = 12,824.10/x
  3. Step 3: Cross multiply
    20,600.10x = 30,900.15 × 12,824.10
  4. Step 4: Simplify right side
    20,600.10x = 396,266,613.62
  5. Step 5: Solve for x
    x = 396,266,613.62/20,600.10
  6. Step 6: Final answer
    x = 19,236.15

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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.