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Finding the Fourth Proportional to 13,273.24, 19,912.74 and 4,039

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Solution

The fourth proportional to 13,273.24, 19,912.74 and 4,039 is: 6,059.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,273.24 : 19,912.74 = 4,039 : x
  2. Step 2: Convert to fraction form
    13,273.24/19,912.74 = 4,039/x
  3. Step 3: Cross multiply
    13,273.24x = 19,912.74 × 4,039
  4. Step 4: Simplify right side
    13,273.24x = 80,427,556.86
  5. Step 5: Solve for x
    x = 80,427,556.86/13,273.24
  6. Step 6: Final answer
    x = 6,059.38

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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.