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Finding the Fourth Proportional to 29,993.40, 41,383.98 and 17,410.68

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Solution

The fourth proportional to 29,993.40, 41,383.98 and 17,410.68 is: 24,022.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,993.40 : 41,383.98 = 17,410.68 : x
  2. Step 2: Convert to fraction form
    29,993.40/41,383.98 = 17,410.68/x
  3. Step 3: Cross multiply
    29,993.40x = 41,383.98 × 17,410.68
  4. Step 4: Simplify right side
    29,993.40x = 720,523,232.91
  5. Step 5: Solve for x
    x = 720,523,232.91/29,993.40
  6. Step 6: Final answer
    x = 24,022.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.