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Finding the Fourth Proportional to 23,163.68, 31,965.99 and 12,553.32

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Solution

The fourth proportional to 23,163.68, 31,965.99 and 12,553.32 is: 17,323.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,163.68 : 31,965.99 = 12,553.32 : x
  2. Step 2: Convert to fraction form
    23,163.68/31,965.99 = 12,553.32/x
  3. Step 3: Cross multiply
    23,163.68x = 31,965.99 × 12,553.32
  4. Step 4: Simplify right side
    23,163.68x = 401,279,301.59
  5. Step 5: Solve for x
    x = 401,279,301.59/23,163.68
  6. Step 6: Final answer
    x = 17,323.64

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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.