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Finding the Fourth Proportional to 13,468.16, 20,183.51 and 6,880.43

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Solution

The fourth proportional to 13,468.16, 20,183.51 and 6,880.43 is: 10,311.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,468.16 : 20,183.51 = 6,880.43 : x
  2. Step 2: Convert to fraction form
    13,468.16/20,183.51 = 6,880.43/x
  3. Step 3: Cross multiply
    13,468.16x = 20,183.51 × 6,880.43
  4. Step 4: Simplify right side
    13,468.16x = 138,871,092.39
  5. Step 5: Solve for x
    x = 138,871,092.39/13,468.16
  6. Step 6: Final answer
    x = 10,311.07

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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.