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Finding the Fourth Proportional to 23,546.63, 32,494.23 and 12,936.44

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Solution

The fourth proportional to 23,546.63, 32,494.23 and 12,936.44 is: 17,852.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,546.63 : 32,494.23 = 12,936.44 : x
  2. Step 2: Convert to fraction form
    23,546.63/32,494.23 = 12,936.44/x
  3. Step 3: Cross multiply
    23,546.63x = 32,494.23 × 12,936.44
  4. Step 4: Simplify right side
    23,546.63x = 420,359,737.98
  5. Step 5: Solve for x
    x = 420,359,737.98/23,546.63
  6. Step 6: Final answer
    x = 17,852.22

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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.