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Finding the Fourth Proportional to 20,046.96, 27,646.52 and 17,213.45

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Solution

The fourth proportional to 20,046.96, 27,646.52 and 17,213.45 is: 23,738.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,046.96 : 27,646.52 = 17,213.45 : x
  2. Step 2: Convert to fraction form
    20,046.96/27,646.52 = 17,213.45/x
  3. Step 3: Cross multiply
    20,046.96x = 27,646.52 × 17,213.45
  4. Step 4: Simplify right side
    20,046.96x = 475,891,765.39
  5. Step 5: Solve for x
    x = 475,891,765.39/20,046.96
  6. Step 6: Final answer
    x = 23,738.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.