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Finding the Fourth Proportional to 23,961.40, 35,946.42 and 8,165.56

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Solution

The fourth proportional to 23,961.40, 35,946.42 and 8,165.56 is: 12,249.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,961.40 : 35,946.42 = 8,165.56 : x
  2. Step 2: Convert to fraction form
    23,961.40/35,946.42 = 8,165.56/x
  3. Step 3: Cross multiply
    23,961.40x = 35,946.42 × 8,165.56
  4. Step 4: Simplify right side
    23,961.40x = 293,522,649.30
  5. Step 5: Solve for x
    x = 293,522,649.30/23,961.40
  6. Step 6: Final answer
    x = 12,249.81

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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.