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Finding the Fourth Proportional to 18,276.87, 27,406.65 and 8,413.23

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Solution

The fourth proportional to 18,276.87, 27,406.65 and 8,413.23 is: 12,615.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,276.87 : 27,406.65 = 8,413.23 : x
  2. Step 2: Convert to fraction form
    18,276.87/27,406.65 = 8,413.23/x
  3. Step 3: Cross multiply
    18,276.87x = 27,406.65 × 8,413.23
  4. Step 4: Simplify right side
    18,276.87x = 230,578,449.98
  5. Step 5: Solve for x
    x = 230,578,449.98/18,276.87
  6. Step 6: Final answer
    x = 12,615.86

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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.