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Finding the Fourth Proportional to 27,584.75, 38,067.56 and 15,009.50

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Solution

The fourth proportional to 27,584.75, 38,067.56 and 15,009.50 is: 20,713.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,584.75 : 38,067.56 = 15,009.50 : x
  2. Step 2: Convert to fraction form
    27,584.75/38,067.56 = 15,009.50/x
  3. Step 3: Cross multiply
    27,584.75x = 38,067.56 × 15,009.50
  4. Step 4: Simplify right side
    27,584.75x = 571,375,041.82
  5. Step 5: Solve for x
    x = 571,375,041.82/27,584.75
  6. Step 6: Final answer
    x = 20,713.44

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