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Finding the Fourth Proportional to 27,836.38, 38,413.41 and 15,899.47

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Solution

The fourth proportional to 27,836.38, 38,413.41 and 15,899.47 is: 21,940.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,836.38 : 38,413.41 = 15,899.47 : x
  2. Step 2: Convert to fraction form
    27,836.38/38,413.41 = 15,899.47/x
  3. Step 3: Cross multiply
    27,836.38x = 38,413.41 × 15,899.47
  4. Step 4: Simplify right side
    27,836.38x = 610,752,859.89
  5. Step 5: Solve for x
    x = 610,752,859.89/27,836.38
  6. Step 6: Final answer
    x = 21,940.81

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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.