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Finding the Fourth Proportional to 27,830.44, 38,419.14 and 17,227

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Solution

The fourth proportional to 27,830.44, 38,419.14 and 17,227 is: 23,781.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,830.44 : 38,419.14 = 17,227 : x
  2. Step 2: Convert to fraction form
    27,830.44/38,419.14 = 17,227/x
  3. Step 3: Cross multiply
    27,830.44x = 38,419.14 × 17,227
  4. Step 4: Simplify right side
    27,830.44x = 661,846,524.78
  5. Step 5: Solve for x
    x = 661,846,524.78/27,830.44
  6. Step 6: Final answer
    x = 23,781.39

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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.