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Finding the Fourth Proportional to 13,850.37, 20,774.73 and 8,299.94

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Solution

The fourth proportional to 13,850.37, 20,774.73 and 8,299.94 is: 12,449.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,850.37 : 20,774.73 = 8,299.94 : x
  2. Step 2: Convert to fraction form
    13,850.37/20,774.73 = 8,299.94/x
  3. Step 3: Cross multiply
    13,850.37x = 20,774.73 × 8,299.94
  4. Step 4: Simplify right side
    13,850.37x = 172,429,012.52
  5. Step 5: Solve for x
    x = 172,429,012.52/13,850.37
  6. Step 6: Final answer
    x = 12,449.42

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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.