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Finding the Fourth Proportional to 18,277.62, 27,407.79 and 8,413.98

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Solution

The fourth proportional to 18,277.62, 27,407.79 and 8,413.98 is: 12,616.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,277.62 : 27,407.79 = 8,413.98 : x
  2. Step 2: Convert to fraction form
    18,277.62/27,407.79 = 8,413.98/x
  3. Step 3: Cross multiply
    18,277.62x = 27,407.79 × 8,413.98
  4. Step 4: Simplify right side
    18,277.62x = 230,608,596.90
  5. Step 5: Solve for x
    x = 230,608,596.90/18,277.62
  6. Step 6: Final answer
    x = 12,616.99

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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.