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Finding the Fourth Proportional to 22,142.67, 33,214.14 and 8,096.91

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Solution

The fourth proportional to 22,142.67, 33,214.14 and 8,096.91 is: 12,145.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,142.67 : 33,214.14 = 8,096.91 : x
  2. Step 2: Convert to fraction form
    22,142.67/33,214.14 = 8,096.91/x
  3. Step 3: Cross multiply
    22,142.67x = 33,214.14 × 8,096.91
  4. Step 4: Simplify right side
    22,142.67x = 268,931,902.31
  5. Step 5: Solve for x
    x = 268,931,902.31/22,142.67
  6. Step 6: Final answer
    x = 12,145.41

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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.