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Finding the Fourth Proportional to 13,413.24, 18,510.24 and 8,107.08

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Solution

The fourth proportional to 13,413.24, 18,510.24 and 8,107.08 is: 11,187.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,413.24 : 18,510.24 = 8,107.08 : x
  2. Step 2: Convert to fraction form
    13,413.24/18,510.24 = 8,107.08/x
  3. Step 3: Cross multiply
    13,413.24x = 18,510.24 × 8,107.08
  4. Step 4: Simplify right side
    13,413.24x = 150,063,996.50
  5. Step 5: Solve for x
    x = 150,063,996.50/13,413.24
  6. Step 6: Final answer
    x = 11,187.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.