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Finding the Fourth Proportional to 29,842.92, 41,182.40 and 16,414.16

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Solution

The fourth proportional to 29,842.92, 41,182.40 and 16,414.16 is: 22,651.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,842.92 : 41,182.40 = 16,414.16 : x
  2. Step 2: Convert to fraction form
    29,842.92/41,182.40 = 16,414.16/x
  3. Step 3: Cross multiply
    29,842.92x = 41,182.40 × 16,414.16
  4. Step 4: Simplify right side
    29,842.92x = 675,974,502.78
  5. Step 5: Solve for x
    x = 675,974,502.78/29,842.92
  6. Step 6: Final answer
    x = 22,651.08

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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.