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Finding the Fourth Proportional to 29,842.81, 41,183.16 and 16,415.44

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Solution

The fourth proportional to 29,842.81, 41,183.16 and 16,415.44 is: 22,653.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,842.81 : 41,183.16 = 16,415.44 : x
  2. Step 2: Convert to fraction form
    29,842.81/41,183.16 = 16,415.44/x
  3. Step 3: Cross multiply
    29,842.81x = 41,183.16 × 16,415.44
  4. Step 4: Simplify right side
    29,842.81x = 676,039,691.99
  5. Step 5: Solve for x
    x = 676,039,691.99/29,842.81
  6. Step 6: Final answer
    x = 22,653.35

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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.