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Finding the Fourth Proportional to 22,131.14, 33,167.15 and 8,077.96

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Solution

The fourth proportional to 22,131.14, 33,167.15 and 8,077.96 is: 12,106.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,131.14 : 33,167.15 = 8,077.96 : x
  2. Step 2: Convert to fraction form
    22,131.14/33,167.15 = 8,077.96/x
  3. Step 3: Cross multiply
    22,131.14x = 33,167.15 × 8,077.96
  4. Step 4: Simplify right side
    22,131.14x = 267,922,704.79
  5. Step 5: Solve for x
    x = 267,922,704.79/22,131.14
  6. Step 6: Final answer
    x = 12,106.14

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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.