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Finding the Fourth Proportional to 23,085.38, 31,857.83 and 13,149.38

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Solution

The fourth proportional to 23,085.38, 31,857.83 and 13,149.38 is: 18,146.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,085.38 : 31,857.83 = 13,149.38 : x
  2. Step 2: Convert to fraction form
    23,085.38/31,857.83 = 13,149.38/x
  3. Step 3: Cross multiply
    23,085.38x = 31,857.83 × 13,149.38
  4. Step 4: Simplify right side
    23,085.38x = 418,910,487.61
  5. Step 5: Solve for x
    x = 418,910,487.61/23,085.38
  6. Step 6: Final answer
    x = 18,146.14

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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.