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Finding the Fourth Proportional to 29,843.68, 41,179.44 and 17,266

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Solution

The fourth proportional to 29,843.68, 41,179.44 and 17,266 is: 23,824.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,843.68 : 41,179.44 = 17,266 : x
  2. Step 2: Convert to fraction form
    29,843.68/41,179.44 = 17,266/x
  3. Step 3: Cross multiply
    29,843.68x = 41,179.44 × 17,266
  4. Step 4: Simplify right side
    29,843.68x = 711,004,211.04
  5. Step 5: Solve for x
    x = 711,004,211.04/29,843.68
  6. Step 6: Final answer
    x = 23,824.28

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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.