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Finding the Fourth Proportional to 21,734.66, 32,601.67 and 6,943.38

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Solution

The fourth proportional to 21,734.66, 32,601.67 and 6,943.38 is: 10,414.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,734.66 : 32,601.67 = 6,943.38 : x
  2. Step 2: Convert to fraction form
    21,734.66/32,601.67 = 6,943.38/x
  3. Step 3: Cross multiply
    21,734.66x = 32,601.67 × 6,943.38
  4. Step 4: Simplify right side
    21,734.66x = 226,365,783.44
  5. Step 5: Solve for x
    x = 226,365,783.44/21,734.66
  6. Step 6: Final answer
    x = 10,414.97

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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.