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Finding the Fourth Proportional to 22,202.96, 33,317.57 and 8,172.84

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Solution

The fourth proportional to 22,202.96, 33,317.57 and 8,172.84 is: 12,264.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,202.96 : 33,317.57 = 8,172.84 : x
  2. Step 2: Convert to fraction form
    22,202.96/33,317.57 = 8,172.84/x
  3. Step 3: Cross multiply
    22,202.96x = 33,317.57 × 8,172.84
  4. Step 4: Simplify right side
    22,202.96x = 272,299,189.23
  5. Step 5: Solve for x
    x = 272,299,189.23/22,202.96
  6. Step 6: Final answer
    x = 12,264.09

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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.