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Finding the Fourth Proportional to 16,967.72, 23,415.89 and 9,414.38

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Solution

The fourth proportional to 16,967.72, 23,415.89 and 9,414.38 is: 12,992.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,967.72 : 23,415.89 = 9,414.38 : x
  2. Step 2: Convert to fraction form
    16,967.72/23,415.89 = 9,414.38/x
  3. Step 3: Cross multiply
    16,967.72x = 23,415.89 × 9,414.38
  4. Step 4: Simplify right side
    16,967.72x = 220,446,097.97
  5. Step 5: Solve for x
    x = 220,446,097.97/16,967.72
  6. Step 6: Final answer
    x = 12,992.09

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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.