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Finding the Fourth Proportional to 13,706.21, 20,586.96 and 8,170.37

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Solution

The fourth proportional to 13,706.21, 20,586.96 and 8,170.37 is: 12,272.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,706.21 : 20,586.96 = 8,170.37 : x
  2. Step 2: Convert to fraction form
    13,706.21/20,586.96 = 8,170.37/x
  3. Step 3: Cross multiply
    13,706.21x = 20,586.96 × 8,170.37
  4. Step 4: Simplify right side
    13,706.21x = 168,203,093.24
  5. Step 5: Solve for x
    x = 168,203,093.24/13,706.21
  6. Step 6: Final answer
    x = 12,272.03

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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.