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Finding the Fourth Proportional to 23,963.64, 35,936.10 and 9,167.64

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Solution

The fourth proportional to 23,963.64, 35,936.10 and 9,167.64 is: 13,747.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,963.64 : 35,936.10 = 9,167.64 : x
  2. Step 2: Convert to fraction form
    23,963.64/35,936.10 = 9,167.64/x
  3. Step 3: Cross multiply
    23,963.64x = 35,936.10 × 9,167.64
  4. Step 4: Simplify right side
    23,963.64x = 329,449,227.80
  5. Step 5: Solve for x
    x = 329,449,227.80/23,963.64
  6. Step 6: Final answer
    x = 13,747.88

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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.