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Finding the Fourth Proportional to 22,846.44, 34,270.38 and 6,206.43

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Solution

The fourth proportional to 22,846.44, 34,270.38 and 6,206.43 is: 9,309.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,846.44 : 34,270.38 = 6,206.43 : x
  2. Step 2: Convert to fraction form
    22,846.44/34,270.38 = 6,206.43/x
  3. Step 3: Cross multiply
    22,846.44x = 34,270.38 × 6,206.43
  4. Step 4: Simplify right side
    22,846.44x = 212,696,714.54
  5. Step 5: Solve for x
    x = 212,696,714.54/22,846.44
  6. Step 6: Final answer
    x = 9,309.84

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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.