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Finding the Fourth Proportional to 23,843.97, 32,904.36 and 13,233.38

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Solution

The fourth proportional to 23,843.97, 32,904.36 and 13,233.38 is: 18,261.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,843.97 : 32,904.36 = 13,233.38 : x
  2. Step 2: Convert to fraction form
    23,843.97/32,904.36 = 13,233.38/x
  3. Step 3: Cross multiply
    23,843.97x = 32,904.36 × 13,233.38
  4. Step 4: Simplify right side
    23,843.97x = 435,435,735.02
  5. Step 5: Solve for x
    x = 435,435,735.02/23,843.97
  6. Step 6: Final answer
    x = 18,261.88

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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.