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Finding the Fourth Proportional to 29,839.91, 41,178.25 and 16,411.16

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Solution

The fourth proportional to 29,839.91, 41,178.25 and 16,411.16 is: 22,646.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,839.91 : 41,178.25 = 16,411.16 : x
  2. Step 2: Convert to fraction form
    29,839.91/41,178.25 = 16,411.16/x
  3. Step 3: Cross multiply
    29,839.91x = 41,178.25 × 16,411.16
  4. Step 4: Simplify right side
    29,839.91x = 675,782,849.27
  5. Step 5: Solve for x
    x = 675,782,849.27/29,839.91
  6. Step 6: Final answer
    x = 22,646.95

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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.