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Finding the Fourth Proportional to 12,163.44, 16,782.69 and 7,383.27

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Solution

The fourth proportional to 12,163.44, 16,782.69 and 7,383.27 is: 10,187.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,163.44 : 16,782.69 = 7,383.27 : x
  2. Step 2: Convert to fraction form
    12,163.44/16,782.69 = 7,383.27/x
  3. Step 3: Cross multiply
    12,163.44x = 16,782.69 × 7,383.27
  4. Step 4: Simplify right side
    12,163.44x = 123,911,031.74
  5. Step 5: Solve for x
    x = 123,911,031.74/12,163.44
  6. Step 6: Final answer
    x = 10,187.17

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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.