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Finding the Fourth Proportional to 22,105.42, 33,163.12 and 7,314.30

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Solution

The fourth proportional to 22,105.42, 33,163.12 and 7,314.30 is: 10,973.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,105.42 : 33,163.12 = 7,314.30 : x
  2. Step 2: Convert to fraction form
    22,105.42/33,163.12 = 7,314.30/x
  3. Step 3: Cross multiply
    22,105.42x = 33,163.12 × 7,314.30
  4. Step 4: Simplify right side
    22,105.42x = 242,565,008.62
  5. Step 5: Solve for x
    x = 242,565,008.62/22,105.42
  6. Step 6: Final answer
    x = 10,973.10

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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.