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Finding the Fourth Proportional to 12,134.17, 18,201.24 and 3,814.91

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Solution

The fourth proportional to 12,134.17, 18,201.24 and 3,814.91 is: 5,722.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,134.17 : 18,201.24 = 3,814.91 : x
  2. Step 2: Convert to fraction form
    12,134.17/18,201.24 = 3,814.91/x
  3. Step 3: Cross multiply
    12,134.17x = 18,201.24 × 3,814.91
  4. Step 4: Simplify right side
    12,134.17x = 69,436,179.27
  5. Step 5: Solve for x
    x = 69,436,179.27/12,134.17
  6. Step 6: Final answer
    x = 5,722.37

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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.