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Finding the Fourth Proportional to 23,771.97, 32,805.37 and 13,163.20

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Solution

The fourth proportional to 23,771.97, 32,805.37 and 13,163.20 is: 18,165.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,771.97 : 32,805.37 = 13,163.20 : x
  2. Step 2: Convert to fraction form
    23,771.97/32,805.37 = 13,163.20/x
  3. Step 3: Cross multiply
    23,771.97x = 32,805.37 × 13,163.20
  4. Step 4: Simplify right side
    23,771.97x = 431,823,646.38
  5. Step 5: Solve for x
    x = 431,823,646.38/23,771.97
  6. Step 6: Final answer
    x = 18,165.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.