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Finding the Fourth Proportional to 12,286.14, 18,427.31 and 4,493.13

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Solution

The fourth proportional to 12,286.14, 18,427.31 and 4,493.13 is: 6,739.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,286.14 : 18,427.31 = 4,493.13 : x
  2. Step 2: Convert to fraction form
    12,286.14/18,427.31 = 4,493.13/x
  3. Step 3: Cross multiply
    12,286.14x = 18,427.31 × 4,493.13
  4. Step 4: Simplify right side
    12,286.14x = 82,796,299.38
  5. Step 5: Solve for x
    x = 82,796,299.38/12,286.14
  6. Step 6: Final answer
    x = 6,739.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.