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Finding the Fourth Proportional to 16,940.34, 23,375.79 and 9,384.66

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Solution

The fourth proportional to 16,940.34, 23,375.79 and 9,384.66 is: 12,949.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,940.34 : 23,375.79 = 9,384.66 : x
  2. Step 2: Convert to fraction form
    16,940.34/23,375.79 = 9,384.66/x
  3. Step 3: Cross multiply
    16,940.34x = 23,375.79 × 9,384.66
  4. Step 4: Simplify right side
    16,940.34x = 219,373,841.38
  5. Step 5: Solve for x
    x = 219,373,841.38/16,940.34
  6. Step 6: Final answer
    x = 12,949.79

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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.