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Finding the Fourth Proportional to 22,072.67, 33,098.57 and 8,022.91

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Solution

The fourth proportional to 22,072.67, 33,098.57 and 8,022.91 is: 12,030.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,072.67 : 33,098.57 = 8,022.91 : x
  2. Step 2: Convert to fraction form
    22,072.67/33,098.57 = 8,022.91/x
  3. Step 3: Cross multiply
    22,072.67x = 33,098.57 × 8,022.91
  4. Step 4: Simplify right side
    22,072.67x = 265,546,848.24
  5. Step 5: Solve for x
    x = 265,546,848.24/22,072.67
  6. Step 6: Final answer
    x = 12,030.57

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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.