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Finding the Fourth Proportional to 12,150.72, 18,229.14 and 3,830.94

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Solution

The fourth proportional to 12,150.72, 18,229.14 and 3,830.94 is: 5,747.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,150.72 : 18,229.14 = 3,830.94 : x
  2. Step 2: Convert to fraction form
    12,150.72/18,229.14 = 3,830.94/x
  3. Step 3: Cross multiply
    12,150.72x = 18,229.14 × 3,830.94
  4. Step 4: Simplify right side
    12,150.72x = 69,834,741.59
  5. Step 5: Solve for x
    x = 69,834,741.59/12,150.72
  6. Step 6: Final answer
    x = 5,747.37

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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.