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Finding the Fourth Proportional to 27,837.38, 38,414.79 and 15,900.47

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Solution

The fourth proportional to 27,837.38, 38,414.79 and 15,900.47 is: 21,942.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,837.38 : 38,414.79 = 15,900.47 : x
  2. Step 2: Convert to fraction form
    27,837.38/38,414.79 = 15,900.47/x
  3. Step 3: Cross multiply
    27,837.38x = 38,414.79 × 15,900.47
  4. Step 4: Simplify right side
    27,837.38x = 610,813,215.95
  5. Step 5: Solve for x
    x = 610,813,215.95/27,837.38
  6. Step 6: Final answer
    x = 21,942.19

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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.