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Finding the Fourth Proportional to 22,576.29, 33,853.04 and 13,219.27

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Solution

The fourth proportional to 22,576.29, 33,853.04 and 13,219.27 is: 19,822.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,576.29 : 33,853.04 = 13,219.27 : x
  2. Step 2: Convert to fraction form
    22,576.29/33,853.04 = 13,219.27/x
  3. Step 3: Cross multiply
    22,576.29x = 33,853.04 × 13,219.27
  4. Step 4: Simplify right side
    22,576.29x = 447,512,374.92
  5. Step 5: Solve for x
    x = 447,512,374.92/22,576.29
  6. Step 6: Final answer
    x = 19,822.23

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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.