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Finding the Fourth Proportional to 20,175.10, 30,205.05 and 17,871.10

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Solution

The fourth proportional to 20,175.10, 30,205.05 and 17,871.10 is: 26,755.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,175.10 : 30,205.05 = 17,871.10 : x
  2. Step 2: Convert to fraction form
    20,175.10/30,205.05 = 17,871.10/x
  3. Step 3: Cross multiply
    20,175.10x = 30,205.05 × 17,871.10
  4. Step 4: Simplify right side
    20,175.10x = 539,797,469.06
  5. Step 5: Solve for x
    x = 539,797,469.06/20,175.10
  6. Step 6: Final answer
    x = 26,755.63

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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.