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Finding the Fourth Proportional to 12,385.26, 17,083.80 and 8,413.23

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Solution

The fourth proportional to 12,385.26, 17,083.80 and 8,413.23 is: 11,604.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,385.26 : 17,083.80 = 8,413.23 : x
  2. Step 2: Convert to fraction form
    12,385.26/17,083.80 = 8,413.23/x
  3. Step 3: Cross multiply
    12,385.26x = 17,083.80 × 8,413.23
  4. Step 4: Simplify right side
    12,385.26x = 143,729,938.67
  5. Step 5: Solve for x
    x = 143,729,938.67/12,385.26
  6. Step 6: Final answer
    x = 11,604.92

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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.