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Finding the Fourth Proportional to 11,171.37, 16,744.14 and 8,222.34

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Solution

The fourth proportional to 11,171.37, 16,744.14 and 8,222.34 is: 12,324.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,171.37 : 16,744.14 = 8,222.34 : x
  2. Step 2: Convert to fraction form
    11,171.37/16,744.14 = 8,222.34/x
  3. Step 3: Cross multiply
    11,171.37x = 16,744.14 × 8,222.34
  4. Step 4: Simplify right side
    11,171.37x = 137,676,012.09
  5. Step 5: Solve for x
    x = 137,676,012.09/11,171.37
  6. Step 6: Final answer
    x = 12,324.00

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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.