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Finding the Fourth Proportional to 17,857.71, 26,791.02 and 5,377.46

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Solution

The fourth proportional to 17,857.71, 26,791.02 and 5,377.46 is: 8,067.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,857.71 : 26,791.02 = 5,377.46 : x
  2. Step 2: Convert to fraction form
    17,857.71/26,791.02 = 5,377.46/x
  3. Step 3: Cross multiply
    17,857.71x = 26,791.02 × 5,377.46
  4. Step 4: Simplify right side
    17,857.71x = 144,067,504.45
  5. Step 5: Solve for x
    x = 144,067,504.45/17,857.71
  6. Step 6: Final answer
    x = 8,067.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.