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Finding the Fourth Proportional to 21,451.44, 32,177.16 and 12,198

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Solution

The fourth proportional to 21,451.44, 32,177.16 and 12,198 is: 18,297

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,451.44 : 32,177.16 = 12,198 : x
  2. Step 2: Convert to fraction form
    21,451.44/32,177.16 = 12,198/x
  3. Step 3: Cross multiply
    21,451.44x = 32,177.16 × 12,198
  4. Step 4: Simplify right side
    21,451.44x = 392,496,997.68
  5. Step 5: Solve for x
    x = 392,496,997.68/21,451.44
  6. Step 6: Final answer
    x = 18,297

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.