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Finding the Fourth Proportional to 27,398.51, 41,073.09 and 9,856

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Solution

The fourth proportional to 27,398.51, 41,073.09 and 9,856 is: 14,775.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,398.51 : 41,073.09 = 9,856 : x
  2. Step 2: Convert to fraction form
    27,398.51/41,073.09 = 9,856/x
  3. Step 3: Cross multiply
    27,398.51x = 41,073.09 × 9,856
  4. Step 4: Simplify right side
    27,398.51x = 404,816,375.04
  5. Step 5: Solve for x
    x = 404,816,375.04/27,398.51
  6. Step 6: Final answer
    x = 14,775.12

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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.