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Finding the Fourth Proportional to 13,413.72, 20,122.14 and 5,100

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Solution

The fourth proportional to 13,413.72, 20,122.14 and 5,100 is: 7,650.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,413.72 : 20,122.14 = 5,100 : x
  2. Step 2: Convert to fraction form
    13,413.72/20,122.14 = 5,100/x
  3. Step 3: Cross multiply
    13,413.72x = 20,122.14 × 5,100
  4. Step 4: Simplify right side
    13,413.72x = 102,622,914
  5. Step 5: Solve for x
    x = 102,622,914/13,413.72
  6. Step 6: Final answer
    x = 7,650.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.