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Finding the Fourth Proportional to 27,882, 38,476.11 and 15,945.03

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Solution

The fourth proportional to 27,882, 38,476.11 and 15,945.03 is: 22,003.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,882 : 38,476.11 = 15,945.03 : x
  2. Step 2: Convert to fraction form
    27,882/38,476.11 = 15,945.03/x
  3. Step 3: Cross multiply
    27,882x = 38,476.11 × 15,945.03
  4. Step 4: Simplify right side
    27,882x = 613,502,728.23
  5. Step 5: Solve for x
    x = 613,502,728.23/27,882
  6. Step 6: Final answer
    x = 22,003.54

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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.