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Finding the Fourth Proportional to 20,492.80, 30,739.20 and 12,198.40

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Solution

The fourth proportional to 20,492.80, 30,739.20 and 12,198.40 is: 18,297.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,492.80 : 30,739.20 = 12,198.40 : x
  2. Step 2: Convert to fraction form
    20,492.80/30,739.20 = 12,198.40/x
  3. Step 3: Cross multiply
    20,492.80x = 30,739.20 × 12,198.40
  4. Step 4: Simplify right side
    20,492.80x = 374,969,057.28
  5. Step 5: Solve for x
    x = 374,969,057.28/20,492.80
  6. Step 6: Final answer
    x = 18,297.60

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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.