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Finding the Fourth Proportional to 22,414.34, 33,626.50 and 6,833.18

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Solution

The fourth proportional to 22,414.34, 33,626.50 and 6,833.18 is: 10,251.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,414.34 : 33,626.50 = 6,833.18 : x
  2. Step 2: Convert to fraction form
    22,414.34/33,626.50 = 6,833.18/x
  3. Step 3: Cross multiply
    22,414.34x = 33,626.50 × 6,833.18
  4. Step 4: Simplify right side
    22,414.34x = 229,775,927.27
  5. Step 5: Solve for x
    x = 229,775,927.27/22,414.34
  6. Step 6: Final answer
    x = 10,251.29

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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.