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Finding the Fourth Proportional to 24,980.78, 34,414.94 and 17,413.36

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Solution

The fourth proportional to 24,980.78, 34,414.94 and 17,413.36 is: 23,989.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,980.78 : 34,414.94 = 17,413.36 : x
  2. Step 2: Convert to fraction form
    24,980.78/34,414.94 = 17,413.36/x
  3. Step 3: Cross multiply
    24,980.78x = 34,414.94 × 17,413.36
  4. Step 4: Simplify right side
    24,980.78x = 599,279,739.60
  5. Step 5: Solve for x
    x = 599,279,739.60/24,980.78
  6. Step 6: Final answer
    x = 23,989.63

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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.