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Finding the Fourth Proportional to 15,824.88, 23,716.37 and 8,413.38

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Solution

The fourth proportional to 15,824.88, 23,716.37 and 8,413.38 is: 12,608.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,824.88 : 23,716.37 = 8,413.38 : x
  2. Step 2: Convert to fraction form
    15,824.88/23,716.37 = 8,413.38/x
  3. Step 3: Cross multiply
    15,824.88x = 23,716.37 × 8,413.38
  4. Step 4: Simplify right side
    15,824.88x = 199,534,850.25
  5. Step 5: Solve for x
    x = 199,534,850.25/15,824.88
  6. Step 6: Final answer
    x = 12,608.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.