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Finding the Fourth Proportional to 26,997.72, 37,236.74 and 19,825.38

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Solution

The fourth proportional to 26,997.72, 37,236.74 and 19,825.38 is: 27,344.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,997.72 : 37,236.74 = 19,825.38 : x
  2. Step 2: Convert to fraction form
    26,997.72/37,236.74 = 19,825.38/x
  3. Step 3: Cross multiply
    26,997.72x = 37,236.74 × 19,825.38
  4. Step 4: Simplify right side
    26,997.72x = 738,232,520.46
  5. Step 5: Solve for x
    x = 738,232,520.46/26,997.72
  6. Step 6: Final answer
    x = 27,344.25

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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.