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Finding the Fourth Proportional to 13,382.06, 18,467.06 and 7,413.71

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Solution

The fourth proportional to 13,382.06, 18,467.06 and 7,413.71 is: 10,230.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,382.06 : 18,467.06 = 7,413.71 : x
  2. Step 2: Convert to fraction form
    13,382.06/18,467.06 = 7,413.71/x
  3. Step 3: Cross multiply
    13,382.06x = 18,467.06 × 7,413.71
  4. Step 4: Simplify right side
    13,382.06x = 136,909,297.99
  5. Step 5: Solve for x
    x = 136,909,297.99/13,382.06
  6. Step 6: Final answer
    x = 10,230.81

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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.