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Finding the Fourth Proportional to 23,546.20, 32,494 and 12,791.18

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Solution

The fourth proportional to 23,546.20, 32,494 and 12,791.18 is: 17,651.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,546.20 : 32,494 = 12,791.18 : x
  2. Step 2: Convert to fraction form
    23,546.20/32,494 = 12,791.18/x
  3. Step 3: Cross multiply
    23,546.20x = 32,494 × 12,791.18
  4. Step 4: Simplify right side
    23,546.20x = 415,636,602.92
  5. Step 5: Solve for x
    x = 415,636,602.92/23,546.20
  6. Step 6: Final answer
    x = 17,651.96

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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.