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Finding the Fourth Proportional to 13,413.80, 20,147.54 and 8,087.65

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Solution

The fourth proportional to 13,413.80, 20,147.54 and 8,087.65 is: 12,147.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,413.80 : 20,147.54 = 8,087.65 : x
  2. Step 2: Convert to fraction form
    13,413.80/20,147.54 = 8,087.65/x
  3. Step 3: Cross multiply
    13,413.80x = 20,147.54 × 8,087.65
  4. Step 4: Simplify right side
    13,413.80x = 162,946,161.07
  5. Step 5: Solve for x
    x = 162,946,161.07/13,413.80
  6. Step 6: Final answer
    x = 12,147.65

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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.