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Finding the Fourth Proportional to 26,004.38, 35,886 and 14,067.68

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Solution

The fourth proportional to 26,004.38, 35,886 and 14,067.68 is: 19,413.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,004.38 : 35,886 = 14,067.68 : x
  2. Step 2: Convert to fraction form
    26,004.38/35,886 = 14,067.68/x
  3. Step 3: Cross multiply
    26,004.38x = 35,886 × 14,067.68
  4. Step 4: Simplify right side
    26,004.38x = 504,832,764.48
  5. Step 5: Solve for x
    x = 504,832,764.48/26,004.38
  6. Step 6: Final answer
    x = 19,413.37

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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.