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Finding the Fourth Proportional to 23,163.88, 31,966.12 and 12,553.44

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Solution

The fourth proportional to 23,163.88, 31,966.12 and 12,553.44 is: 17,323.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,163.88 : 31,966.12 = 12,553.44 : x
  2. Step 2: Convert to fraction form
    23,163.88/31,966.12 = 12,553.44/x
  3. Step 3: Cross multiply
    23,163.88x = 31,966.12 × 12,553.44
  4. Step 4: Simplify right side
    23,163.88x = 401,284,769.45
  5. Step 5: Solve for x
    x = 401,284,769.45/23,163.88
  6. Step 6: Final answer
    x = 17,323.73

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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.