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Finding the Fourth Proportional to 12,096.31, 16,694.73 and 7,383.33

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Solution

The fourth proportional to 12,096.31, 16,694.73 and 7,383.33 is: 10,190.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,096.31 : 16,694.73 = 7,383.33 : x
  2. Step 2: Convert to fraction form
    12,096.31/16,694.73 = 7,383.33/x
  3. Step 3: Cross multiply
    12,096.31x = 16,694.73 × 7,383.33
  4. Step 4: Simplify right side
    12,096.31x = 123,262,700.85
  5. Step 5: Solve for x
    x = 123,262,700.85/12,096.31
  6. Step 6: Final answer
    x = 10,190.11

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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.