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Finding the Fourth Proportional to 20,645.03, 30,961.46 and 5,855.24

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Solution

The fourth proportional to 20,645.03, 30,961.46 and 5,855.24 is: 8,781.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,645.03 : 30,961.46 = 5,855.24 : x
  2. Step 2: Convert to fraction form
    20,645.03/30,961.46 = 5,855.24/x
  3. Step 3: Cross multiply
    20,645.03x = 30,961.46 × 5,855.24
  4. Step 4: Simplify right side
    20,645.03x = 181,286,594.97
  5. Step 5: Solve for x
    x = 181,286,594.97/20,645.03
  6. Step 6: Final answer
    x = 8,781.13

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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.