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Finding the Fourth Proportional to 20,198.70, 30,226.05 and 12,806.70

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Solution

The fourth proportional to 20,198.70, 30,226.05 and 12,806.70 is: 19,164.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,198.70 : 30,226.05 = 12,806.70 : x
  2. Step 2: Convert to fraction form
    20,198.70/30,226.05 = 12,806.70/x
  3. Step 3: Cross multiply
    20,198.70x = 30,226.05 × 12,806.70
  4. Step 4: Simplify right side
    20,198.70x = 387,095,954.54
  5. Step 5: Solve for x
    x = 387,095,954.54/20,198.70
  6. Step 6: Final answer
    x = 19,164.40

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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.