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Finding the Fourth Proportional to 29,511.23, 40,724.31 and 16,082.20

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Solution

The fourth proportional to 29,511.23, 40,724.31 and 16,082.20 is: 22,192.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,511.23 : 40,724.31 = 16,082.20 : x
  2. Step 2: Convert to fraction form
    29,511.23/40,724.31 = 16,082.20/x
  3. Step 3: Cross multiply
    29,511.23x = 40,724.31 × 16,082.20
  4. Step 4: Simplify right side
    29,511.23x = 654,936,214.25
  5. Step 5: Solve for x
    x = 654,936,214.25/29,511.23
  6. Step 6: Final answer
    x = 22,192.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.