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Finding the Fourth Proportional to 12,413.44, 18,610.24 and 6,166.72

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Solution

The fourth proportional to 12,413.44, 18,610.24 and 6,166.72 is: 9,245.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,413.44 : 18,610.24 = 6,166.72 : x
  2. Step 2: Convert to fraction form
    12,413.44/18,610.24 = 6,166.72/x
  3. Step 3: Cross multiply
    12,413.44x = 18,610.24 × 6,166.72
  4. Step 4: Simplify right side
    12,413.44x = 114,764,139.21
  5. Step 5: Solve for x
    x = 114,764,139.21/12,413.44
  6. Step 6: Final answer
    x = 9,245.15

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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.