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Finding the Fourth Proportional to 22,540.92, 33,813.20 and 6,958.52

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Solution

The fourth proportional to 22,540.92, 33,813.20 and 6,958.52 is: 10,438.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,540.92 : 33,813.20 = 6,958.52 : x
  2. Step 2: Convert to fraction form
    22,540.92/33,813.20 = 6,958.52/x
  3. Step 3: Cross multiply
    22,540.92x = 33,813.20 × 6,958.52
  4. Step 4: Simplify right side
    22,540.92x = 235,289,828.46
  5. Step 5: Solve for x
    x = 235,289,828.46/22,540.92
  6. Step 6: Final answer
    x = 10,438.34

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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.