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Finding the Fourth Proportional to 22,298.71, 30,772.20 and 12,227.31

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Solution

The fourth proportional to 22,298.71, 30,772.20 and 12,227.31 is: 16,873.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,298.71 : 30,772.20 = 12,227.31 : x
  2. Step 2: Convert to fraction form
    22,298.71/30,772.20 = 12,227.31/x
  3. Step 3: Cross multiply
    22,298.71x = 30,772.20 × 12,227.31
  4. Step 4: Simplify right side
    22,298.71x = 376,261,361.18
  5. Step 5: Solve for x
    x = 376,261,361.18/22,298.71
  6. Step 6: Final answer
    x = 16,873.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.