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Finding the Fourth Proportional to 23,560.94, 32,514.12 and 12,951.27

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Solution

The fourth proportional to 23,560.94, 32,514.12 and 12,951.27 is: 17,872.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,560.94 : 32,514.12 = 12,951.27 : x
  2. Step 2: Convert to fraction form
    23,560.94/32,514.12 = 12,951.27/x
  3. Step 3: Cross multiply
    23,560.94x = 32,514.12 × 12,951.27
  4. Step 4: Simplify right side
    23,560.94x = 421,099,146.93
  5. Step 5: Solve for x
    x = 421,099,146.93/23,560.94
  6. Step 6: Final answer
    x = 17,872.76

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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.