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Finding the Fourth Proportional to 16,680.38, 23,021.01 and 10,942.65

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Solution

The fourth proportional to 16,680.38, 23,021.01 and 10,942.65 is: 15,102.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,680.38 : 23,021.01 = 10,942.65 : x
  2. Step 2: Convert to fraction form
    16,680.38/23,021.01 = 10,942.65/x
  3. Step 3: Cross multiply
    16,680.38x = 23,021.01 × 10,942.65
  4. Step 4: Simplify right side
    16,680.38x = 251,910,855.08
  5. Step 5: Solve for x
    x = 251,910,855.08/16,680.38
  6. Step 6: Final answer
    x = 15,102.23

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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.