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Finding the Fourth Proportional to 22,822.89, 34,238.37 and 10,342.41

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Solution

The fourth proportional to 22,822.89, 34,238.37 and 10,342.41 is: 15,515.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,822.89 : 34,238.37 = 10,342.41 : x
  2. Step 2: Convert to fraction form
    22,822.89/34,238.37 = 10,342.41/x
  3. Step 3: Cross multiply
    22,822.89x = 34,238.37 × 10,342.41
  4. Step 4: Simplify right side
    22,822.89x = 354,107,260.27
  5. Step 5: Solve for x
    x = 354,107,260.27/22,822.89
  6. Step 6: Final answer
    x = 15,515.44

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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.