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Finding the Fourth Proportional to 20,213.80, 30,320.70 and 11,465.80

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Solution

The fourth proportional to 20,213.80, 30,320.70 and 11,465.80 is: 17,198.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,213.80 : 30,320.70 = 11,465.80 : x
  2. Step 2: Convert to fraction form
    20,213.80/30,320.70 = 11,465.80/x
  3. Step 3: Cross multiply
    20,213.80x = 30,320.70 × 11,465.80
  4. Step 4: Simplify right side
    20,213.80x = 347,651,082.06
  5. Step 5: Solve for x
    x = 347,651,082.06/20,213.80
  6. Step 6: Final answer
    x = 17,198.70

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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.