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Finding the Fourth Proportional to 22,036.12, 32,997.84 and 12,164.44

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Solution

The fourth proportional to 22,036.12, 32,997.84 and 12,164.44 is: 18,215.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,036.12 : 32,997.84 = 12,164.44 : x
  2. Step 2: Convert to fraction form
    22,036.12/32,997.84 = 12,164.44/x
  3. Step 3: Cross multiply
    22,036.12x = 32,997.84 × 12,164.44
  4. Step 4: Simplify right side
    22,036.12x = 401,400,244.81
  5. Step 5: Solve for x
    x = 401,400,244.81/22,036.12
  6. Step 6: Final answer
    x = 18,215.56

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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.