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Finding the Fourth Proportional to 22,174.42, 33,261.64 and 8,129.14

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Solution

The fourth proportional to 22,174.42, 33,261.64 and 8,129.14 is: 12,193.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,174.42 : 33,261.64 = 8,129.14 : x
  2. Step 2: Convert to fraction form
    22,174.42/33,261.64 = 8,129.14/x
  3. Step 3: Cross multiply
    22,174.42x = 33,261.64 × 8,129.14
  4. Step 4: Simplify right side
    22,174.42x = 270,388,528.19
  5. Step 5: Solve for x
    x = 270,388,528.19/22,174.42
  6. Step 6: Final answer
    x = 12,193.71

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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.