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Finding the Fourth Proportional to 23,255.14, 32,092.02 and 12,644.80

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Solution

The fourth proportional to 23,255.14, 32,092.02 and 12,644.80 is: 17,449.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,255.14 : 32,092.02 = 12,644.80 : x
  2. Step 2: Convert to fraction form
    23,255.14/32,092.02 = 12,644.80/x
  3. Step 3: Cross multiply
    23,255.14x = 32,092.02 × 12,644.80
  4. Step 4: Simplify right side
    23,255.14x = 405,797,174.50
  5. Step 5: Solve for x
    x = 405,797,174.50/23,255.14
  6. Step 6: Final answer
    x = 17,449.78

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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.