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Finding the Fourth Proportional to 14,067.98, 19,413.47 and 7,694.61

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Solution

The fourth proportional to 14,067.98, 19,413.47 and 7,694.61 is: 10,618.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,067.98 : 19,413.47 = 7,694.61 : x
  2. Step 2: Convert to fraction form
    14,067.98/19,413.47 = 7,694.61/x
  3. Step 3: Cross multiply
    14,067.98x = 19,413.47 × 7,694.61
  4. Step 4: Simplify right side
    14,067.98x = 149,379,136.03
  5. Step 5: Solve for x
    x = 149,379,136.03/14,067.98
  6. Step 6: Final answer
    x = 10,618.38

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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.