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Finding the Fourth Proportional to 20,194.71, 27,864.48 and 12,235.38

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Solution

The fourth proportional to 20,194.71, 27,864.48 and 12,235.38 is: 16,882.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,194.71 : 27,864.48 = 12,235.38 : x
  2. Step 2: Convert to fraction form
    20,194.71/27,864.48 = 12,235.38/x
  3. Step 3: Cross multiply
    20,194.71x = 27,864.48 × 12,235.38
  4. Step 4: Simplify right side
    20,194.71x = 340,932,501.30
  5. Step 5: Solve for x
    x = 340,932,501.30/20,194.71
  6. Step 6: Final answer
    x = 16,882.27

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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.