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Finding the Fourth Proportional to 26,026, 35,906.08 and 17,078.44

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Solution

The fourth proportional to 26,026, 35,906.08 and 17,078.44 is: 23,561.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,026 : 35,906.08 = 17,078.44 : x
  2. Step 2: Convert to fraction form
    26,026/35,906.08 = 17,078.44/x
  3. Step 3: Cross multiply
    26,026x = 35,906.08 × 17,078.44
  4. Step 4: Simplify right side
    26,026x = 613,219,832.92
  5. Step 5: Solve for x
    x = 613,219,832.92/26,026
  6. Step 6: Final answer
    x = 23,561.82

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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.