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Finding the Fourth Proportional to 26,107.82, 36,027.82 and 14,170.90

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Solution

The fourth proportional to 26,107.82, 36,027.82 and 14,170.90 is: 19,555.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,107.82 : 36,027.82 = 14,170.90 : x
  2. Step 2: Convert to fraction form
    26,107.82/36,027.82 = 14,170.90/x
  3. Step 3: Cross multiply
    26,107.82x = 36,027.82 × 14,170.90
  4. Step 4: Simplify right side
    26,107.82x = 510,546,634.44
  5. Step 5: Solve for x
    x = 510,546,634.44/26,107.82
  6. Step 6: Final answer
    x = 19,555.32

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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.