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Finding the Fourth Proportional to 22,377, 33,565.62 and 5,961

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Solution

The fourth proportional to 22,377, 33,565.62 and 5,961 is: 8,941.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,377 : 33,565.62 = 5,961 : x
  2. Step 2: Convert to fraction form
    22,377/33,565.62 = 5,961/x
  3. Step 3: Cross multiply
    22,377x = 33,565.62 × 5,961
  4. Step 4: Simplify right side
    22,377x = 200,084,660.82
  5. Step 5: Solve for x
    x = 200,084,660.82/22,377
  6. Step 6: Final answer
    x = 8,941.53

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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.