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Finding the Fourth Proportional to 17,067, 23,552.46 and 9,615

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Solution

The fourth proportional to 17,067, 23,552.46 and 9,615 is: 13,268.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,067 : 23,552.46 = 9,615 : x
  2. Step 2: Convert to fraction form
    17,067/23,552.46 = 9,615/x
  3. Step 3: Cross multiply
    17,067x = 23,552.46 × 9,615
  4. Step 4: Simplify right side
    17,067x = 226,456,902.90
  5. Step 5: Solve for x
    x = 226,456,902.90/17,067
  6. Step 6: Final answer
    x = 13,268.70

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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.