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Finding the Fourth Proportional to 16,732.94, 23,092.09 and 9,179.57

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Solution

The fourth proportional to 16,732.94, 23,092.09 and 9,179.57 is: 12,668.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,732.94 : 23,092.09 = 9,179.57 : x
  2. Step 2: Convert to fraction form
    16,732.94/23,092.09 = 9,179.57/x
  3. Step 3: Cross multiply
    16,732.94x = 23,092.09 × 9,179.57
  4. Step 4: Simplify right side
    16,732.94x = 211,975,491.38
  5. Step 5: Solve for x
    x = 211,975,491.38/16,732.94
  6. Step 6: Final answer
    x = 12,668.16

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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.