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Finding the Fourth Proportional to 13,206.76, 18,221.70 and 8,168.56

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Solution

The fourth proportional to 13,206.76, 18,221.70 and 8,168.56 is: 11,270.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,206.76 : 18,221.70 = 8,168.56 : x
  2. Step 2: Convert to fraction form
    13,206.76/18,221.70 = 8,168.56/x
  3. Step 3: Cross multiply
    13,206.76x = 18,221.70 × 8,168.56
  4. Step 4: Simplify right side
    13,206.76x = 148,845,049.75
  5. Step 5: Solve for x
    x = 148,845,049.75/13,206.76
  6. Step 6: Final answer
    x = 11,270.37

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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.