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Finding the Fourth Proportional to 18,205.20, 27,286.20 and 7,675.20

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Solution

The fourth proportional to 18,205.20, 27,286.20 and 7,675.20 is: 11,503.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,205.20 : 27,286.20 = 7,675.20 : x
  2. Step 2: Convert to fraction form
    18,205.20/27,286.20 = 7,675.20/x
  3. Step 3: Cross multiply
    18,205.20x = 27,286.20 × 7,675.20
  4. Step 4: Simplify right side
    18,205.20x = 209,427,042.24
  5. Step 5: Solve for x
    x = 209,427,042.24/18,205.20
  6. Step 6: Final answer
    x = 11,503.69

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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.