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Finding the Fourth Proportional to 18,494, 27,741.24 and 6,182

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Solution

The fourth proportional to 18,494, 27,741.24 and 6,182 is: 9,273.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,494 : 27,741.24 = 6,182 : x
  2. Step 2: Convert to fraction form
    18,494/27,741.24 = 6,182/x
  3. Step 3: Cross multiply
    18,494x = 27,741.24 × 6,182
  4. Step 4: Simplify right side
    18,494x = 171,496,345.68
  5. Step 5: Solve for x
    x = 171,496,345.68/18,494
  6. Step 6: Final answer
    x = 9,273.08

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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.