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Finding the Fourth Proportional to 26,016, 35,917.56 and 17,079.14

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Solution

The fourth proportional to 26,016, 35,917.56 and 17,079.14 is: 23,579.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,016 : 35,917.56 = 17,079.14 : x
  2. Step 2: Convert to fraction form
    26,016/35,917.56 = 17,079.14/x
  3. Step 3: Cross multiply
    26,016x = 35,917.56 × 17,079.14
  4. Step 4: Simplify right side
    26,016x = 613,441,035.70
  5. Step 5: Solve for x
    x = 613,441,035.70/26,016
  6. Step 6: Final answer
    x = 23,579.38

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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.