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Finding the Fourth Proportional to 23,963.64, 35,961.46 and 8,381.27

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Solution

The fourth proportional to 23,963.64, 35,961.46 and 8,381.27 is: 12,577.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,963.64 : 35,961.46 = 8,381.27 : x
  2. Step 2: Convert to fraction form
    23,963.64/35,961.46 = 8,381.27/x
  3. Step 3: Cross multiply
    23,963.64x = 35,961.46 × 8,381.27
  4. Step 4: Simplify right side
    23,963.64x = 301,402,505.09
  5. Step 5: Solve for x
    x = 301,402,505.09/23,963.64
  6. Step 6: Final answer
    x = 12,577.49

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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.