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Finding the Fourth Proportional to 12,413.62, 18,618.81 and 5,486.50

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Solution

The fourth proportional to 12,413.62, 18,618.81 and 5,486.50 is: 8,229.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,413.62 : 18,618.81 = 5,486.50 : x
  2. Step 2: Convert to fraction form
    12,413.62/18,618.81 = 5,486.50/x
  3. Step 3: Cross multiply
    12,413.62x = 18,618.81 × 5,486.50
  4. Step 4: Simplify right side
    12,413.62x = 102,152,101.07
  5. Step 5: Solve for x
    x = 102,152,101.07/12,413.62
  6. Step 6: Final answer
    x = 8,229.03

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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.