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Finding the Fourth Proportional to 16,181.96, 22,351.72 and 12,381.96

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Solution

The fourth proportional to 16,181.96, 22,351.72 and 12,381.96 is: 17,102.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,181.96 : 22,351.72 = 12,381.96 : x
  2. Step 2: Convert to fraction form
    16,181.96/22,351.72 = 12,381.96/x
  3. Step 3: Cross multiply
    16,181.96x = 22,351.72 × 12,381.96
  4. Step 4: Simplify right side
    16,181.96x = 276,758,102.97
  5. Step 5: Solve for x
    x = 276,758,102.97/16,181.96
  6. Step 6: Final answer
    x = 17,102.88

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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.