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Finding the Fourth Proportional to 26,816, 40,224.02 and 11,233.64

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Solution

The fourth proportional to 26,816, 40,224.02 and 11,233.64 is: 16,850.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,816 : 40,224.02 = 11,233.64 : x
  2. Step 2: Convert to fraction form
    26,816/40,224.02 = 11,233.64/x
  3. Step 3: Cross multiply
    26,816x = 40,224.02 × 11,233.64
  4. Step 4: Simplify right side
    26,816x = 451,862,160.03
  5. Step 5: Solve for x
    x = 451,862,160.03/26,816
  6. Step 6: Final answer
    x = 16,850.47

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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.