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Finding the Fourth Proportional to 19,469.31, 29,201.22 and 6,321.84

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Solution

The fourth proportional to 19,469.31, 29,201.22 and 6,321.84 is: 9,481.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,469.31 : 29,201.22 = 6,321.84 : x
  2. Step 2: Convert to fraction form
    19,469.31/29,201.22 = 6,321.84/x
  3. Step 3: Cross multiply
    19,469.31x = 29,201.22 × 6,321.84
  4. Step 4: Simplify right side
    19,469.31x = 184,605,440.64
  5. Step 5: Solve for x
    x = 184,605,440.64/19,469.31
  6. Step 6: Final answer
    x = 9,481.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.