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Finding the Fourth Proportional to 27,667.92, 41,493.78 and 11,022.42

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Solution

The fourth proportional to 27,667.92, 41,493.78 and 11,022.42 is: 16,530.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,667.92 : 41,493.78 = 11,022.42 : x
  2. Step 2: Convert to fraction form
    27,667.92/41,493.78 = 11,022.42/x
  3. Step 3: Cross multiply
    27,667.92x = 41,493.78 × 11,022.42
  4. Step 4: Simplify right side
    27,667.92x = 457,361,870.55
  5. Step 5: Solve for x
    x = 457,361,870.55/27,667.92
  6. Step 6: Final answer
    x = 16,530.40

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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.