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Finding the Fourth Proportional to 23,013.38, 31,754.49 and 12,940.42

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Solution

The fourth proportional to 23,013.38, 31,754.49 and 12,940.42 is: 17,855.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,013.38 : 31,754.49 = 12,940.42 : x
  2. Step 2: Convert to fraction form
    23,013.38/31,754.49 = 12,940.42/x
  3. Step 3: Cross multiply
    23,013.38x = 31,754.49 × 12,940.42
  4. Step 4: Simplify right side
    23,013.38x = 410,916,437.49
  5. Step 5: Solve for x
    x = 410,916,437.49/23,013.38
  6. Step 6: Final answer
    x = 17,855.54

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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.