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Finding the Fourth Proportional to 29,839.13, 41,179.03 and 16,411.40

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Solution

The fourth proportional to 29,839.13, 41,179.03 and 16,411.40 is: 22,648.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,839.13 : 41,179.03 = 16,411.40 : x
  2. Step 2: Convert to fraction form
    29,839.13/41,179.03 = 16,411.40/x
  3. Step 3: Cross multiply
    29,839.13x = 41,179.03 × 16,411.40
  4. Step 4: Simplify right side
    29,839.13x = 675,805,286.02
  5. Step 5: Solve for x
    x = 675,805,286.02/29,839.13
  6. Step 6: Final answer
    x = 22,648.29

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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.