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Finding the Fourth Proportional to 12,467.26, 17,203.71 and 7,161.58

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Solution

The fourth proportional to 12,467.26, 17,203.71 and 7,161.58 is: 9,882.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,467.26 : 17,203.71 = 7,161.58 : x
  2. Step 2: Convert to fraction form
    12,467.26/17,203.71 = 7,161.58/x
  3. Step 3: Cross multiply
    12,467.26x = 17,203.71 × 7,161.58
  4. Step 4: Simplify right side
    12,467.26x = 123,205,745.46
  5. Step 5: Solve for x
    x = 123,205,745.46/12,467.26
  6. Step 6: Final answer
    x = 9,882.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.