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Finding the Fourth Proportional to 22,672.38, 33,956.71 and 10,834.48

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Solution

The fourth proportional to 22,672.38, 33,956.71 and 10,834.48 is: 16,226.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,672.38 : 33,956.71 = 10,834.48 : x
  2. Step 2: Convert to fraction form
    22,672.38/33,956.71 = 10,834.48/x
  3. Step 3: Cross multiply
    22,672.38x = 33,956.71 × 10,834.48
  4. Step 4: Simplify right side
    22,672.38x = 367,903,295.36
  5. Step 5: Solve for x
    x = 367,903,295.36/22,672.38
  6. Step 6: Final answer
    x = 16,226.94

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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.