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Finding the Fourth Proportional to 12,467.70, 17,205.82 and 7,163.58

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Solution

The fourth proportional to 12,467.70, 17,205.82 and 7,163.58 is: 9,885.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,467.70 : 17,205.82 = 7,163.58 : x
  2. Step 2: Convert to fraction form
    12,467.70/17,205.82 = 7,163.58/x
  3. Step 3: Cross multiply
    12,467.70x = 17,205.82 × 7,163.58
  4. Step 4: Simplify right side
    12,467.70x = 123,255,268.04
  5. Step 5: Solve for x
    x = 123,255,268.04/12,467.70
  6. Step 6: Final answer
    x = 9,885.97

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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.