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Finding the Fourth Proportional to 22,414.59, 33,620.67 and 6,831

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Solution

The fourth proportional to 22,414.59, 33,620.67 and 6,831 is: 10,246.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,414.59 : 33,620.67 = 6,831 : x
  2. Step 2: Convert to fraction form
    22,414.59/33,620.67 = 6,831/x
  3. Step 3: Cross multiply
    22,414.59x = 33,620.67 × 6,831
  4. Step 4: Simplify right side
    22,414.59x = 229,662,796.77
  5. Step 5: Solve for x
    x = 229,662,796.77/22,414.59
  6. Step 6: Final answer
    x = 10,246.13

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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.