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Finding the Fourth Proportional to 13,204.34, 18,221.24 and 7,234.80

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Solution

The fourth proportional to 13,204.34, 18,221.24 and 7,234.80 is: 9,983.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,204.34 : 18,221.24 = 7,234.80 : x
  2. Step 2: Convert to fraction form
    13,204.34/18,221.24 = 7,234.80/x
  3. Step 3: Cross multiply
    13,204.34x = 18,221.24 × 7,234.80
  4. Step 4: Simplify right side
    13,204.34x = 131,826,990.98
  5. Step 5: Solve for x
    x = 131,826,990.98/13,204.34
  6. Step 6: Final answer
    x = 9,983.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.