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Finding the Fourth Proportional to 18,942.30, 28,413.59 and 8,409.48

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Solution

The fourth proportional to 18,942.30, 28,413.59 and 8,409.48 is: 12,614.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,942.30 : 28,413.59 = 8,409.48 : x
  2. Step 2: Convert to fraction form
    18,942.30/28,413.59 = 8,409.48/x
  3. Step 3: Cross multiply
    18,942.30x = 28,413.59 × 8,409.48
  4. Step 4: Simplify right side
    18,942.30x = 238,943,474.79
  5. Step 5: Solve for x
    x = 238,943,474.79/18,942.30
  6. Step 6: Final answer
    x = 12,614.28

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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.