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Finding the Fourth Proportional to 13,722.33, 20,611.05 and 8,186.48

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Solution

The fourth proportional to 13,722.33, 20,611.05 and 8,186.48 is: 12,296.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,722.33 : 20,611.05 = 8,186.48 : x
  2. Step 2: Convert to fraction form
    13,722.33/20,611.05 = 8,186.48/x
  3. Step 3: Cross multiply
    13,722.33x = 20,611.05 × 8,186.48
  4. Step 4: Simplify right side
    13,722.33x = 168,731,845.55
  5. Step 5: Solve for x
    x = 168,731,845.55/13,722.33
  6. Step 6: Final answer
    x = 12,296.15

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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.