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Finding the Fourth Proportional to 27,886.38, 38,476.62 and 15,956.31

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Solution

The fourth proportional to 27,886.38, 38,476.62 and 15,956.31 is: 22,015.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,886.38 : 38,476.62 = 15,956.31 : x
  2. Step 2: Convert to fraction form
    27,886.38/38,476.62 = 15,956.31/x
  3. Step 3: Cross multiply
    27,886.38x = 38,476.62 × 15,956.31
  4. Step 4: Simplify right side
    27,886.38x = 613,944,876.47
  5. Step 5: Solve for x
    x = 613,944,876.47/27,886.38
  6. Step 6: Final answer
    x = 22,015.94

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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.