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Finding the Fourth Proportional to 11,192, 16,791 and 9,967.82

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Solution

The fourth proportional to 11,192, 16,791 and 9,967.82 is: 14,954.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,192 : 16,791 = 9,967.82 : x
  2. Step 2: Convert to fraction form
    11,192/16,791 = 9,967.82/x
  3. Step 3: Cross multiply
    11,192x = 16,791 × 9,967.82
  4. Step 4: Simplify right side
    11,192x = 167,369,665.62
  5. Step 5: Solve for x
    x = 167,369,665.62/11,192
  6. Step 6: Final answer
    x = 14,954.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.