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Finding the Fourth Proportional to 22,141.92, 33,214.80 and 11,753.44

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Solution

The fourth proportional to 22,141.92, 33,214.80 and 11,753.44 is: 17,631.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,141.92 : 33,214.80 = 11,753.44 : x
  2. Step 2: Convert to fraction form
    22,141.92/33,214.80 = 11,753.44/x
  3. Step 3: Cross multiply
    22,141.92x = 33,214.80 × 11,753.44
  4. Step 4: Simplify right side
    22,141.92x = 390,388,158.91
  5. Step 5: Solve for x
    x = 390,388,158.91/22,141.92
  6. Step 6: Final answer
    x = 17,631.18

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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.