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Finding the Fourth Proportional to 29,841.94, 41,181.89 and 16,414.10

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Solution

The fourth proportional to 29,841.94, 41,181.89 and 16,414.10 is: 22,651.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,841.94 : 41,181.89 = 16,414.10 : x
  2. Step 2: Convert to fraction form
    29,841.94/41,181.89 = 16,414.10/x
  3. Step 3: Cross multiply
    29,841.94x = 41,181.89 × 16,414.10
  4. Step 4: Simplify right side
    29,841.94x = 675,963,660.65
  5. Step 5: Solve for x
    x = 675,963,660.65/29,841.94
  6. Step 6: Final answer
    x = 22,651.47

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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.