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Finding the Fourth Proportional to 18,292.14, 27,413.46 and 8,409.60

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Solution

The fourth proportional to 18,292.14, 27,413.46 and 8,409.60 is: 12,603.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,292.14 : 27,413.46 = 8,409.60 : x
  2. Step 2: Convert to fraction form
    18,292.14/27,413.46 = 8,409.60/x
  3. Step 3: Cross multiply
    18,292.14x = 27,413.46 × 8,409.60
  4. Step 4: Simplify right side
    18,292.14x = 230,536,233.22
  5. Step 5: Solve for x
    x = 230,536,233.22/18,292.14
  6. Step 6: Final answer
    x = 12,603.02

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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.