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Finding the Fourth Proportional to 12,633.25, 17,431.84 and 7,596.26

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Solution

The fourth proportional to 12,633.25, 17,431.84 and 7,596.26 is: 10,481.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,633.25 : 17,431.84 = 7,596.26 : x
  2. Step 2: Convert to fraction form
    12,633.25/17,431.84 = 7,596.26/x
  3. Step 3: Cross multiply
    12,633.25x = 17,431.84 × 7,596.26
  4. Step 4: Simplify right side
    12,633.25x = 132,416,750.94
  5. Step 5: Solve for x
    x = 132,416,750.94/12,633.25
  6. Step 6: Final answer
    x = 10,481.61

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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.