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Finding the Fourth Proportional to 22,951.81, 34,431.19 and 8,157.22

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Solution

The fourth proportional to 22,951.81, 34,431.19 and 8,157.22 is: 12,237.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,951.81 : 34,431.19 = 8,157.22 : x
  2. Step 2: Convert to fraction form
    22,951.81/34,431.19 = 8,157.22/x
  3. Step 3: Cross multiply
    22,951.81x = 34,431.19 × 8,157.22
  4. Step 4: Simplify right side
    22,951.81x = 280,862,791.69
  5. Step 5: Solve for x
    x = 280,862,791.69/22,951.81
  6. Step 6: Final answer
    x = 12,237.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.