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Finding the Fourth Proportional to 27,584.50, 38,067.42 and 15,010.06

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Solution

The fourth proportional to 27,584.50, 38,067.42 and 15,010.06 is: 20,714.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,584.50 : 38,067.42 = 15,010.06 : x
  2. Step 2: Convert to fraction form
    27,584.50/38,067.42 = 15,010.06/x
  3. Step 3: Cross multiply
    27,584.50x = 38,067.42 × 15,010.06
  4. Step 4: Simplify right side
    27,584.50x = 571,394,258.25
  5. Step 5: Solve for x
    x = 571,394,258.25/27,584.50
  6. Step 6: Final answer
    x = 20,714.32

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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.