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Finding the Fourth Proportional to 16,997.94, 23,456.43 and 9,444.78

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Solution

The fourth proportional to 16,997.94, 23,456.43 and 9,444.78 is: 13,033.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,997.94 : 23,456.43 = 9,444.78 : x
  2. Step 2: Convert to fraction form
    16,997.94/23,456.43 = 9,444.78/x
  3. Step 3: Cross multiply
    16,997.94x = 23,456.43 × 9,444.78
  4. Step 4: Simplify right side
    16,997.94x = 221,540,820.94
  5. Step 5: Solve for x
    x = 221,540,820.94/16,997.94
  6. Step 6: Final answer
    x = 13,033.39

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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.