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Finding the Fourth Proportional to 18,310.14, 25,270.68 and 11,596.38

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Solution

The fourth proportional to 18,310.14, 25,270.68 and 11,596.38 is: 16,004.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,310.14 : 25,270.68 = 11,596.38 : x
  2. Step 2: Convert to fraction form
    18,310.14/25,270.68 = 11,596.38/x
  3. Step 3: Cross multiply
    18,310.14x = 25,270.68 × 11,596.38
  4. Step 4: Simplify right side
    18,310.14x = 293,048,350.16
  5. Step 5: Solve for x
    x = 293,048,350.16/18,310.14
  6. Step 6: Final answer
    x = 16,004.71

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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.