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Finding the Fourth Proportional to 23,651.48, 32,638.60 and 12,896.48

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Solution

The fourth proportional to 23,651.48, 32,638.60 and 12,896.48 is: 17,796.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,651.48 : 32,638.60 = 12,896.48 : x
  2. Step 2: Convert to fraction form
    23,651.48/32,638.60 = 12,896.48/x
  3. Step 3: Cross multiply
    23,651.48x = 32,638.60 × 12,896.48
  4. Step 4: Simplify right side
    23,651.48x = 420,923,052.13
  5. Step 5: Solve for x
    x = 420,923,052.13/23,651.48
  6. Step 6: Final answer
    x = 17,796.90

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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.