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Finding the Fourth Proportional to 22,034.12, 32,994.84 and 12,162.44

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Solution

The fourth proportional to 22,034.12, 32,994.84 and 12,162.44 is: 18,212.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,034.12 : 32,994.84 = 12,162.44 : x
  2. Step 2: Convert to fraction form
    22,034.12/32,994.84 = 12,162.44/x
  3. Step 3: Cross multiply
    22,034.12x = 32,994.84 × 12,162.44
  4. Step 4: Simplify right side
    22,034.12x = 401,297,761.81
  5. Step 5: Solve for x
    x = 401,297,761.81/22,034.12
  6. Step 6: Final answer
    x = 18,212.56

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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.