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Finding the Fourth Proportional to 22,149.68, 33,212.18 and 13,147.46

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Solution

The fourth proportional to 22,149.68, 33,212.18 and 13,147.46 is: 19,713.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,149.68 : 33,212.18 = 13,147.46 : x
  2. Step 2: Convert to fraction form
    22,149.68/33,212.18 = 13,147.46/x
  3. Step 3: Cross multiply
    22,149.68x = 33,212.18 × 13,147.46
  4. Step 4: Simplify right side
    22,149.68x = 436,655,674.87
  5. Step 5: Solve for x
    x = 436,655,674.87/22,149.68
  6. Step 6: Final answer
    x = 19,713.86

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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.