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Finding the Fourth Proportional to 22,196.66, 33,295.28 and 12,398.31

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Solution

The fourth proportional to 22,196.66, 33,295.28 and 12,398.31 is: 18,597.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,196.66 : 33,295.28 = 12,398.31 : x
  2. Step 2: Convert to fraction form
    22,196.66/33,295.28 = 12,398.31/x
  3. Step 3: Cross multiply
    22,196.66x = 33,295.28 × 12,398.31
  4. Step 4: Simplify right side
    22,196.66x = 412,805,140.99
  5. Step 5: Solve for x
    x = 412,805,140.99/22,196.66
  6. Step 6: Final answer
    x = 18,597.63

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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.