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Finding the Fourth Proportional to 14,067.87, 19,413.03 and 7,694.31

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Solution

The fourth proportional to 14,067.87, 19,413.03 and 7,694.31 is: 10,617.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,067.87 : 19,413.03 = 7,694.31 : x
  2. Step 2: Convert to fraction form
    14,067.87/19,413.03 = 7,694.31/x
  3. Step 3: Cross multiply
    14,067.87x = 19,413.03 × 7,694.31
  4. Step 4: Simplify right side
    14,067.87x = 149,369,870.86
  5. Step 5: Solve for x
    x = 149,369,870.86/14,067.87
  6. Step 6: Final answer
    x = 10,617.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.