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Finding the Fourth Proportional to 27,877.74, 38,470.38 and 15,940.86

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Solution

The fourth proportional to 27,877.74, 38,470.38 and 15,940.86 is: 21,997.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,877.74 : 38,470.38 = 15,940.86 : x
  2. Step 2: Convert to fraction form
    27,877.74/38,470.38 = 15,940.86/x
  3. Step 3: Cross multiply
    27,877.74x = 38,470.38 × 15,940.86
  4. Step 4: Simplify right side
    27,877.74x = 613,250,941.73
  5. Step 5: Solve for x
    x = 613,250,941.73/27,877.74
  6. Step 6: Final answer
    x = 21,997.87

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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.