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Finding the Fourth Proportional to 17,685.95, 24,413.91 and 10,611

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Solution

The fourth proportional to 17,685.95, 24,413.91 and 10,611 is: 14,647.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,685.95 : 24,413.91 = 10,611 : x
  2. Step 2: Convert to fraction form
    17,685.95/24,413.91 = 10,611/x
  3. Step 3: Cross multiply
    17,685.95x = 24,413.91 × 10,611
  4. Step 4: Simplify right side
    17,685.95x = 259,055,959.22
  5. Step 5: Solve for x
    x = 259,055,959.22/17,685.95
  6. Step 6: Final answer
    x = 14,647.56

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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.