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Finding the Fourth Proportional to 29,842.40, 41,183.51 and 16,414.70

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Solution

The fourth proportional to 29,842.40, 41,183.51 and 16,414.70 is: 22,652.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,842.40 : 41,183.51 = 16,414.70 : x
  2. Step 2: Convert to fraction form
    29,842.40/41,183.51 = 16,414.70/x
  3. Step 3: Cross multiply
    29,842.40x = 41,183.51 × 16,414.70
  4. Step 4: Simplify right side
    29,842.40x = 676,014,673.61
  5. Step 5: Solve for x
    x = 676,014,673.61/29,842.40
  6. Step 6: Final answer
    x = 22,652.82

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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.