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Finding the Fourth Proportional to 13,204.68, 18,212.22 and 8,489.40

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Solution

The fourth proportional to 13,204.68, 18,212.22 and 8,489.40 is: 11,708.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,204.68 : 18,212.22 = 8,489.40 : x
  2. Step 2: Convert to fraction form
    13,204.68/18,212.22 = 8,489.40/x
  3. Step 3: Cross multiply
    13,204.68x = 18,212.22 × 8,489.40
  4. Step 4: Simplify right side
    13,204.68x = 154,610,820.47
  5. Step 5: Solve for x
    x = 154,610,820.47/13,204.68
  6. Step 6: Final answer
    x = 11,708.79

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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.