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Finding the Fourth Proportional to 22,481.52, 33,685.38 and 7,682.40

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Solution

The fourth proportional to 22,481.52, 33,685.38 and 7,682.40 is: 11,510.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,481.52 : 33,685.38 = 7,682.40 : x
  2. Step 2: Convert to fraction form
    22,481.52/33,685.38 = 7,682.40/x
  3. Step 3: Cross multiply
    22,481.52x = 33,685.38 × 7,682.40
  4. Step 4: Simplify right side
    22,481.52x = 258,784,563.31
  5. Step 5: Solve for x
    x = 258,784,563.31/22,481.52
  6. Step 6: Final answer
    x = 11,510.99

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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.