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Finding the Fourth Proportional to 13,992.27, 19,311.18 and 8,022.78

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Solution

The fourth proportional to 13,992.27, 19,311.18 and 8,022.78 is: 11,072.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,992.27 : 19,311.18 = 8,022.78 : x
  2. Step 2: Convert to fraction form
    13,992.27/19,311.18 = 8,022.78/x
  3. Step 3: Cross multiply
    13,992.27x = 19,311.18 × 8,022.78
  4. Step 4: Simplify right side
    13,992.27x = 154,929,348.68
  5. Step 5: Solve for x
    x = 154,929,348.68/13,992.27
  6. Step 6: Final answer
    x = 11,072.50

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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.