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Finding the Fourth Proportional to 22,147.65, 33,221.52 and 8,996.97

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Solution

The fourth proportional to 22,147.65, 33,221.52 and 8,996.97 is: 13,495.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,147.65 : 33,221.52 = 8,996.97 : x
  2. Step 2: Convert to fraction form
    22,147.65/33,221.52 = 8,996.97/x
  3. Step 3: Cross multiply
    22,147.65x = 33,221.52 × 8,996.97
  4. Step 4: Simplify right side
    22,147.65x = 298,893,018.79
  5. Step 5: Solve for x
    x = 298,893,018.79/22,147.65
  6. Step 6: Final answer
    x = 13,495.47

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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.