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Finding the Fourth Proportional to 12,022.16, 18,035.34 and 5,793.42

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Solution

The fourth proportional to 12,022.16, 18,035.34 and 5,793.42 is: 8,691.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,022.16 : 18,035.34 = 5,793.42 : x
  2. Step 2: Convert to fraction form
    12,022.16/18,035.34 = 5,793.42/x
  3. Step 3: Cross multiply
    12,022.16x = 18,035.34 × 5,793.42
  4. Step 4: Simplify right side
    12,022.16x = 104,486,299.46
  5. Step 5: Solve for x
    x = 104,486,299.46/12,022.16
  6. Step 6: Final answer
    x = 8,691.14

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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.