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Finding the Fourth Proportional to 16,678, 23,016.36 and 9,226

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Solution

The fourth proportional to 16,678, 23,016.36 and 9,226 is: 12,732.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,678 : 23,016.36 = 9,226 : x
  2. Step 2: Convert to fraction form
    16,678/23,016.36 = 9,226/x
  3. Step 3: Cross multiply
    16,678x = 23,016.36 × 9,226
  4. Step 4: Simplify right side
    16,678x = 212,348,937.36
  5. Step 5: Solve for x
    x = 212,348,937.36/16,678
  6. Step 6: Final answer
    x = 12,732.28

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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.