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Finding the Fourth Proportional to 22,913.64, 34,375.92 and 8,123.86

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Solution

The fourth proportional to 22,913.64, 34,375.92 and 8,123.86 is: 12,187.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,913.64 : 34,375.92 = 8,123.86 : x
  2. Step 2: Convert to fraction form
    22,913.64/34,375.92 = 8,123.86/x
  3. Step 3: Cross multiply
    22,913.64x = 34,375.92 × 8,123.86
  4. Step 4: Simplify right side
    22,913.64x = 279,265,161.45
  5. Step 5: Solve for x
    x = 279,265,161.45/22,913.64
  6. Step 6: Final answer
    x = 12,187.73

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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.