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Finding the Fourth Proportional to 22,142.39, 33,218.81 and 8,816.14

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Solution

The fourth proportional to 22,142.39, 33,218.81 and 8,816.14 is: 13,226.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,142.39 : 33,218.81 = 8,816.14 : x
  2. Step 2: Convert to fraction form
    22,142.39/33,218.81 = 8,816.14/x
  3. Step 3: Cross multiply
    22,142.39x = 33,218.81 × 8,816.14
  4. Step 4: Simplify right side
    22,142.39x = 292,861,635.51
  5. Step 5: Solve for x
    x = 292,861,635.51/22,142.39
  6. Step 6: Final answer
    x = 13,226.29

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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.