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Finding the Fourth Proportional to 12,178.44, 18,268.82 and 3,413.33

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Solution

The fourth proportional to 12,178.44, 18,268.82 and 3,413.33 is: 5,120.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,178.44 : 18,268.82 = 3,413.33 : x
  2. Step 2: Convert to fraction form
    12,178.44/18,268.82 = 3,413.33/x
  3. Step 3: Cross multiply
    12,178.44x = 18,268.82 × 3,413.33
  4. Step 4: Simplify right side
    12,178.44x = 62,357,511.37
  5. Step 5: Solve for x
    x = 62,357,511.37/12,178.44
  6. Step 6: Final answer
    x = 5,120.32

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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.