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Finding the Fourth Proportional to 12,288.39, 18,413.91 and 9,003.66

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Solution

The fourth proportional to 12,288.39, 18,413.91 and 9,003.66 is: 13,491.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,288.39 : 18,413.91 = 9,003.66 : x
  2. Step 2: Convert to fraction form
    12,288.39/18,413.91 = 9,003.66/x
  3. Step 3: Cross multiply
    12,288.39x = 18,413.91 × 9,003.66
  4. Step 4: Simplify right side
    12,288.39x = 165,792,584.91
  5. Step 5: Solve for x
    x = 165,792,584.91/12,288.39
  6. Step 6: Final answer
    x = 13,491.81

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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.