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Finding the Fourth Proportional to 20,218.38, 27,900.63 and 11,834.70

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Solution

The fourth proportional to 20,218.38, 27,900.63 and 11,834.70 is: 16,331.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,218.38 : 27,900.63 = 11,834.70 : x
  2. Step 2: Convert to fraction form
    20,218.38/27,900.63 = 11,834.70/x
  3. Step 3: Cross multiply
    20,218.38x = 27,900.63 × 11,834.70
  4. Step 4: Simplify right side
    20,218.38x = 330,195,585.86
  5. Step 5: Solve for x
    x = 330,195,585.86/20,218.38
  6. Step 6: Final answer
    x = 16,331.46

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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.