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Finding the Fourth Proportional to 26,183.60, 39,271.16 and 8,413.42

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Solution

The fourth proportional to 26,183.60, 39,271.16 and 8,413.42 is: 12,618.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,183.60 : 39,271.16 = 8,413.42 : x
  2. Step 2: Convert to fraction form
    26,183.60/39,271.16 = 8,413.42/x
  3. Step 3: Cross multiply
    26,183.60x = 39,271.16 × 8,413.42
  4. Step 4: Simplify right side
    26,183.60x = 330,404,762.97
  5. Step 5: Solve for x
    x = 330,404,762.97/26,183.60
  6. Step 6: Final answer
    x = 12,618.77

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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.