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Finding the Fourth Proportional to 22,076.71, 33,114.31 and 9,596.73

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Solution

The fourth proportional to 22,076.71, 33,114.31 and 9,596.73 is: 14,394.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,076.71 : 33,114.31 = 9,596.73 : x
  2. Step 2: Convert to fraction form
    22,076.71/33,114.31 = 9,596.73/x
  3. Step 3: Cross multiply
    22,076.71x = 33,114.31 × 9,596.73
  4. Step 4: Simplify right side
    22,076.71x = 317,789,092.21
  5. Step 5: Solve for x
    x = 317,789,092.21/22,076.71
  6. Step 6: Final answer
    x = 14,394.77

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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.