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Finding the Fourth Proportional to 21,772.31, 30,046.14 and 12,214.33

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Solution

The fourth proportional to 21,772.31, 30,046.14 and 12,214.33 is: 16,855.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,772.31 : 30,046.14 = 12,214.33 : x
  2. Step 2: Convert to fraction form
    21,772.31/30,046.14 = 12,214.33/x
  3. Step 3: Cross multiply
    21,772.31x = 30,046.14 × 12,214.33
  4. Step 4: Simplify right side
    21,772.31x = 366,993,394.07
  5. Step 5: Solve for x
    x = 366,993,394.07/21,772.31
  6. Step 6: Final answer
    x = 16,855.97

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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.