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Finding the Fourth Proportional to 19,882.08, 27,438 and 11,922.72

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Solution

The fourth proportional to 19,882.08, 27,438 and 11,922.72 is: 16,453.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,882.08 : 27,438 = 11,922.72 : x
  2. Step 2: Convert to fraction form
    19,882.08/27,438 = 11,922.72/x
  3. Step 3: Cross multiply
    19,882.08x = 27,438 × 11,922.72
  4. Step 4: Simplify right side
    19,882.08x = 327,135,591.36
  5. Step 5: Solve for x
    x = 327,135,591.36/19,882.08
  6. Step 6: Final answer
    x = 16,453.79

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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.