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Finding the Fourth Proportional to 23,963.77, 35,961.65 and 8,381.39

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Solution

The fourth proportional to 23,963.77, 35,961.65 and 8,381.39 is: 12,577.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,963.77 : 35,961.65 = 8,381.39 : x
  2. Step 2: Convert to fraction form
    23,963.77/35,961.65 = 8,381.39/x
  3. Step 3: Cross multiply
    23,963.77x = 35,961.65 × 8,381.39
  4. Step 4: Simplify right side
    23,963.77x = 301,408,571.79
  5. Step 5: Solve for x
    x = 301,408,571.79/23,963.77
  6. Step 6: Final answer
    x = 12,577.68

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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.