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Finding the Fourth Proportional to 23,463.64, 32,380.30 and 12,853.27

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Solution

The fourth proportional to 23,463.64, 32,380.30 and 12,853.27 is: 17,737.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,463.64 : 32,380.30 = 12,853.27 : x
  2. Step 2: Convert to fraction form
    23,463.64/32,380.30 = 12,853.27/x
  3. Step 3: Cross multiply
    23,463.64x = 32,380.30 × 12,853.27
  4. Step 4: Simplify right side
    23,463.64x = 416,192,850.04
  5. Step 5: Solve for x
    x = 416,192,850.04/23,463.64
  6. Step 6: Final answer
    x = 17,737.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.