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Finding the Fourth Proportional to 13,481.30, 20,220.97 and 4,595.90

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Solution

The fourth proportional to 13,481.30, 20,220.97 and 4,595.90 is: 6,893.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,481.30 : 20,220.97 = 4,595.90 : x
  2. Step 2: Convert to fraction form
    13,481.30/20,220.97 = 4,595.90/x
  3. Step 3: Cross multiply
    13,481.30x = 20,220.97 × 4,595.90
  4. Step 4: Simplify right side
    13,481.30x = 92,933,431.94
  5. Step 5: Solve for x
    x = 92,933,431.94/13,481.30
  6. Step 6: Final answer
    x = 6,893.51

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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.