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Finding the Fourth Proportional to 17,238.74, 25,837.20 and 7,865.91

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Solution

The fourth proportional to 17,238.74, 25,837.20 and 7,865.91 is: 11,789.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,238.74 : 25,837.20 = 7,865.91 : x
  2. Step 2: Convert to fraction form
    17,238.74/25,837.20 = 7,865.91/x
  3. Step 3: Cross multiply
    17,238.74x = 25,837.20 × 7,865.91
  4. Step 4: Simplify right side
    17,238.74x = 203,233,089.85
  5. Step 5: Solve for x
    x = 203,233,089.85/17,238.74
  6. Step 6: Final answer
    x = 11,789.33

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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.