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Finding the Fourth Proportional to 40,997.72, 61,497.12 and 11,414.84

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Solution

The fourth proportional to 40,997.72, 61,497.12 and 11,414.84 is: 17,122.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,997.72 : 61,497.12 = 11,414.84 : x
  2. Step 2: Convert to fraction form
    40,997.72/61,497.12 = 11,414.84/x
  3. Step 3: Cross multiply
    40,997.72x = 61,497.12 × 11,414.84
  4. Step 4: Simplify right side
    40,997.72x = 701,979,785.26
  5. Step 5: Solve for x
    x = 701,979,785.26/40,997.72
  6. Step 6: Final answer
    x = 17,122.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.