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Finding the Fourth Proportional to 18,375.68, 27,548.16 and 7,424

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Solution

The fourth proportional to 18,375.68, 27,548.16 and 7,424 is: 11,129.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,375.68 : 27,548.16 = 7,424 : x
  2. Step 2: Convert to fraction form
    18,375.68/27,548.16 = 7,424/x
  3. Step 3: Cross multiply
    18,375.68x = 27,548.16 × 7,424
  4. Step 4: Simplify right side
    18,375.68x = 204,517,539.84
  5. Step 5: Solve for x
    x = 204,517,539.84/18,375.68
  6. Step 6: Final answer
    x = 11,129.79

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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.