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Finding the Fourth Proportional to 13,481.34, 20,222.04 and 6,077.19

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Solution

The fourth proportional to 13,481.34, 20,222.04 and 6,077.19 is: 9,115.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,481.34 : 20,222.04 = 6,077.19 : x
  2. Step 2: Convert to fraction form
    13,481.34/20,222.04 = 6,077.19/x
  3. Step 3: Cross multiply
    13,481.34x = 20,222.04 × 6,077.19
  4. Step 4: Simplify right side
    13,481.34x = 122,893,179.27
  5. Step 5: Solve for x
    x = 122,893,179.27/13,481.34
  6. Step 6: Final answer
    x = 9,115.80

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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.