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Finding the Fourth Proportional to 22,997.92, 31,738 and 14,049.44

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Solution

The fourth proportional to 22,997.92, 31,738 and 14,049.44 is: 19,388.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,997.92 : 31,738 = 14,049.44 : x
  2. Step 2: Convert to fraction form
    22,997.92/31,738 = 14,049.44/x
  3. Step 3: Cross multiply
    22,997.92x = 31,738 × 14,049.44
  4. Step 4: Simplify right side
    22,997.92x = 445,901,126.72
  5. Step 5: Solve for x
    x = 445,901,126.72/22,997.92
  6. Step 6: Final answer
    x = 19,388.76

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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.