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Finding the Fourth Proportional to 22,540.92, 33,809.40 and 6,957

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Solution

The fourth proportional to 22,540.92, 33,809.40 and 6,957 is: 10,434.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,540.92 : 33,809.40 = 6,957 : x
  2. Step 2: Convert to fraction form
    22,540.92/33,809.40 = 6,957/x
  3. Step 3: Cross multiply
    22,540.92x = 33,809.40 × 6,957
  4. Step 4: Simplify right side
    22,540.92x = 235,211,995.80
  5. Step 5: Solve for x
    x = 235,211,995.80/22,540.92
  6. Step 6: Final answer
    x = 10,434.89

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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.