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Finding the Fourth Proportional to 17,238.28, 25,857.57 and 4,759

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Solution

The fourth proportional to 17,238.28, 25,857.57 and 4,759 is: 7,138.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,238.28 : 25,857.57 = 4,759 : x
  2. Step 2: Convert to fraction form
    17,238.28/25,857.57 = 4,759/x
  3. Step 3: Cross multiply
    17,238.28x = 25,857.57 × 4,759
  4. Step 4: Simplify right side
    17,238.28x = 123,056,175.63
  5. Step 5: Solve for x
    x = 123,056,175.63/17,238.28
  6. Step 6: Final answer
    x = 7,138.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.