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Finding the Fourth Proportional to 22,035.12, 32,996.34 and 12,163.44

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Solution

The fourth proportional to 22,035.12, 32,996.34 and 12,163.44 is: 18,214.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,035.12 : 32,996.34 = 12,163.44 : x
  2. Step 2: Convert to fraction form
    22,035.12/32,996.34 = 12,163.44/x
  3. Step 3: Cross multiply
    22,035.12x = 32,996.34 × 12,163.44
  4. Step 4: Simplify right side
    22,035.12x = 401,349,001.81
  5. Step 5: Solve for x
    x = 401,349,001.81/22,035.12
  6. Step 6: Final answer
    x = 18,214.06

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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.