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Finding the Fourth Proportional to 20,147.80, 30,209.70 and 12,362.20

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Solution

The fourth proportional to 20,147.80, 30,209.70 and 12,362.20 is: 18,535.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,147.80 : 30,209.70 = 12,362.20 : x
  2. Step 2: Convert to fraction form
    20,147.80/30,209.70 = 12,362.20/x
  3. Step 3: Cross multiply
    20,147.80x = 30,209.70 × 12,362.20
  4. Step 4: Simplify right side
    20,147.80x = 373,458,353.34
  5. Step 5: Solve for x
    x = 373,458,353.34/20,147.80
  6. Step 6: Final answer
    x = 18,535.94

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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.