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Finding the Fourth Proportional to 13,413.66, 20,122.71 and 6,753.30

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Solution

The fourth proportional to 13,413.66, 20,122.71 and 6,753.30 is: 10,131.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,413.66 : 20,122.71 = 6,753.30 : x
  2. Step 2: Convert to fraction form
    13,413.66/20,122.71 = 6,753.30/x
  3. Step 3: Cross multiply
    13,413.66x = 20,122.71 × 6,753.30
  4. Step 4: Simplify right side
    13,413.66x = 135,894,697.44
  5. Step 5: Solve for x
    x = 135,894,697.44/13,413.66
  6. Step 6: Final answer
    x = 10,131.07

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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.