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Finding the Fourth Proportional to 23,163.64, 31,965.90 and 12,553.24

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Solution

The fourth proportional to 23,163.64, 31,965.90 and 12,553.24 is: 17,323.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,163.64 : 31,965.90 = 12,553.24 : x
  2. Step 2: Convert to fraction form
    23,163.64/31,965.90 = 12,553.24/x
  3. Step 3: Cross multiply
    23,163.64x = 31,965.90 × 12,553.24
  4. Step 4: Simplify right side
    23,163.64x = 401,275,614.52
  5. Step 5: Solve for x
    x = 401,275,614.52/23,163.64
  6. Step 6: Final answer
    x = 17,323.51

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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.