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Finding the Fourth Proportional to 11,500.14, 17,274.78 and 8,234.22

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Solution

The fourth proportional to 11,500.14, 17,274.78 and 8,234.22 is: 12,368.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,500.14 : 17,274.78 = 8,234.22 : x
  2. Step 2: Convert to fraction form
    11,500.14/17,274.78 = 8,234.22/x
  3. Step 3: Cross multiply
    11,500.14x = 17,274.78 × 8,234.22
  4. Step 4: Simplify right side
    11,500.14x = 142,244,338.97
  5. Step 5: Solve for x
    x = 142,244,338.97/11,500.14
  6. Step 6: Final answer
    x = 12,368.92

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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.