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Finding the Fourth Proportional to 20,287.38, 27,996.64 and 11,335.22

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Solution

The fourth proportional to 20,287.38, 27,996.64 and 11,335.22 is: 15,642.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,287.38 : 27,996.64 = 11,335.22 : x
  2. Step 2: Convert to fraction form
    20,287.38/27,996.64 = 11,335.22/x
  3. Step 3: Cross multiply
    20,287.38x = 27,996.64 × 11,335.22
  4. Step 4: Simplify right side
    20,287.38x = 317,348,073.66
  5. Step 5: Solve for x
    x = 317,348,073.66/20,287.38
  6. Step 6: Final answer
    x = 15,642.63

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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.