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Finding the Fourth Proportional to 13,791.61, 19,033.47 and 8,413.57

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Solution

The fourth proportional to 13,791.61, 19,033.47 and 8,413.57 is: 11,611.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,791.61 : 19,033.47 = 8,413.57 : x
  2. Step 2: Convert to fraction form
    13,791.61/19,033.47 = 8,413.57/x
  3. Step 3: Cross multiply
    13,791.61x = 19,033.47 × 8,413.57
  4. Step 4: Simplify right side
    13,791.61x = 160,139,432.19
  5. Step 5: Solve for x
    x = 160,139,432.19/13,791.61
  6. Step 6: Final answer
    x = 11,611.37

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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.