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Finding the Fourth Proportional to 16,284, 22,471.92 and 8,832

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Solution

The fourth proportional to 16,284, 22,471.92 and 8,832 is: 12,188.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,284 : 22,471.92 = 8,832 : x
  2. Step 2: Convert to fraction form
    16,284/22,471.92 = 8,832/x
  3. Step 3: Cross multiply
    16,284x = 22,471.92 × 8,832
  4. Step 4: Simplify right side
    16,284x = 198,471,997.44
  5. Step 5: Solve for x
    x = 198,471,997.44/16,284
  6. Step 6: Final answer
    x = 12,188.16

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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.