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Finding the Fourth Proportional to 16,997.29, 23,455.88 and 9,443.18

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Solution

The fourth proportional to 16,997.29, 23,455.88 and 9,443.18 is: 13,031.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,997.29 : 23,455.88 = 9,443.18 : x
  2. Step 2: Convert to fraction form
    16,997.29/23,455.88 = 9,443.18/x
  3. Step 3: Cross multiply
    16,997.29x = 23,455.88 × 9,443.18
  4. Step 4: Simplify right side
    16,997.29x = 221,498,143.73
  5. Step 5: Solve for x
    x = 221,498,143.73/16,997.29
  6. Step 6: Final answer
    x = 13,031.38

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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.