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Finding the Fourth Proportional to 29,449.24, 40,640.36 and 16,874

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Solution

The fourth proportional to 29,449.24, 40,640.36 and 16,874 is: 23,286.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,449.24 : 40,640.36 = 16,874 : x
  2. Step 2: Convert to fraction form
    29,449.24/40,640.36 = 16,874/x
  3. Step 3: Cross multiply
    29,449.24x = 40,640.36 × 16,874
  4. Step 4: Simplify right side
    29,449.24x = 685,765,434.64
  5. Step 5: Solve for x
    x = 685,765,434.64/29,449.24
  6. Step 6: Final answer
    x = 23,286.35

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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.