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Finding the Fourth Proportional to 22,196.25, 33,299.24 and 8,345.25

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Solution

The fourth proportional to 22,196.25, 33,299.24 and 8,345.25 is: 12,519.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,196.25 : 33,299.24 = 8,345.25 : x
  2. Step 2: Convert to fraction form
    22,196.25/33,299.24 = 8,345.25/x
  3. Step 3: Cross multiply
    22,196.25x = 33,299.24 × 8,345.25
  4. Step 4: Simplify right side
    22,196.25x = 277,890,440.88
  5. Step 5: Solve for x
    x = 277,890,440.88/22,196.25
  6. Step 6: Final answer
    x = 12,519.70

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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.