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Finding the Fourth Proportional to 22,523.38, 33,785.54 and 6,941

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Solution

The fourth proportional to 22,523.38, 33,785.54 and 6,941 is: 10,411.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,523.38 : 33,785.54 = 6,941 : x
  2. Step 2: Convert to fraction form
    22,523.38/33,785.54 = 6,941/x
  3. Step 3: Cross multiply
    22,523.38x = 33,785.54 × 6,941
  4. Step 4: Simplify right side
    22,523.38x = 234,505,433.14
  5. Step 5: Solve for x
    x = 234,505,433.14/22,523.38
  6. Step 6: Final answer
    x = 10,411.64

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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.