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Finding the Fourth Proportional to 22,309.64, 33,446.74 and 11,057.09

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Solution

The fourth proportional to 22,309.64, 33,446.74 and 11,057.09 is: 16,576.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,309.64 : 33,446.74 = 11,057.09 : x
  2. Step 2: Convert to fraction form
    22,309.64/33,446.74 = 11,057.09/x
  3. Step 3: Cross multiply
    22,309.64x = 33,446.74 × 11,057.09
  4. Step 4: Simplify right side
    22,309.64x = 369,823,447.15
  5. Step 5: Solve for x
    x = 369,823,447.15/22,309.64
  6. Step 6: Final answer
    x = 16,576.85

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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.