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Finding the Fourth Proportional to 12,859.31, 17,745.23 and 8,081.73

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Solution

The fourth proportional to 12,859.31, 17,745.23 and 8,081.73 is: 11,152.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,859.31 : 17,745.23 = 8,081.73 : x
  2. Step 2: Convert to fraction form
    12,859.31/17,745.23 = 8,081.73/x
  3. Step 3: Cross multiply
    12,859.31x = 17,745.23 × 8,081.73
  4. Step 4: Simplify right side
    12,859.31x = 143,412,028.51
  5. Step 5: Solve for x
    x = 143,412,028.51/12,859.31
  6. Step 6: Final answer
    x = 11,152.39

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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.