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Finding the Fourth Proportional to 29,842.63, 41,183.17 and 16,414.10

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Solution

The fourth proportional to 29,842.63, 41,183.17 and 16,414.10 is: 22,651.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,842.63 : 41,183.17 = 16,414.10 : x
  2. Step 2: Convert to fraction form
    29,842.63/41,183.17 = 16,414.10/x
  3. Step 3: Cross multiply
    29,842.63x = 41,183.17 × 16,414.10
  4. Step 4: Simplify right side
    29,842.63x = 675,984,670.70
  5. Step 5: Solve for x
    x = 675,984,670.70/29,842.63
  6. Step 6: Final answer
    x = 22,651.65

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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.