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Finding the Fourth Proportional to 26,878.38, 37,086.75 and 15,698.22

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Solution

The fourth proportional to 26,878.38, 37,086.75 and 15,698.22 is: 21,660.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,878.38 : 37,086.75 = 15,698.22 : x
  2. Step 2: Convert to fraction form
    26,878.38/37,086.75 = 15,698.22/x
  3. Step 3: Cross multiply
    26,878.38x = 37,086.75 × 15,698.22
  4. Step 4: Simplify right side
    26,878.38x = 582,195,960.59
  5. Step 5: Solve for x
    x = 582,195,960.59/26,878.38
  6. Step 6: Final answer
    x = 21,660.38

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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.