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Finding the Fourth Proportional to 27,422.38, 37,843.13 and 16,092.06

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Solution

The fourth proportional to 27,422.38, 37,843.13 and 16,092.06 is: 22,207.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,422.38 : 37,843.13 = 16,092.06 : x
  2. Step 2: Convert to fraction form
    27,422.38/37,843.13 = 16,092.06/x
  3. Step 3: Cross multiply
    27,422.38x = 37,843.13 × 16,092.06
  4. Step 4: Simplify right side
    27,422.38x = 608,973,838.09
  5. Step 5: Solve for x
    x = 608,973,838.09/27,422.38
  6. Step 6: Final answer
    x = 22,207.19

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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.