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Finding the Fourth Proportional to 20,755.14, 30,984.92 and 20,026.14

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Solution

The fourth proportional to 20,755.14, 30,984.92 and 20,026.14 is: 29,896.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,755.14 : 30,984.92 = 20,026.14 : x
  2. Step 2: Convert to fraction form
    20,755.14/30,984.92 = 20,026.14/x
  3. Step 3: Cross multiply
    20,755.14x = 30,984.92 × 20,026.14
  4. Step 4: Simplify right side
    20,755.14x = 620,508,245.68
  5. Step 5: Solve for x
    x = 620,508,245.68/20,755.14
  6. Step 6: Final answer
    x = 29,896.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.