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Finding the Fourth Proportional to 27,394.50, 41,067.09 and 9,852

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Solution

The fourth proportional to 27,394.50, 41,067.09 and 9,852 is: 14,769.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,394.50 : 41,067.09 = 9,852 : x
  2. Step 2: Convert to fraction form
    27,394.50/41,067.09 = 9,852/x
  3. Step 3: Cross multiply
    27,394.50x = 41,067.09 × 9,852
  4. Step 4: Simplify right side
    27,394.50x = 404,592,970.68
  5. Step 5: Solve for x
    x = 404,592,970.68/27,394.50
  6. Step 6: Final answer
    x = 14,769.13

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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.