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Finding the Fourth Proportional to 27,900.18, 38,469.74 and 20,814.30

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Solution

The fourth proportional to 27,900.18, 38,469.74 and 20,814.30 is: 28,699.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,900.18 : 38,469.74 = 20,814.30 : x
  2. Step 2: Convert to fraction form
    27,900.18/38,469.74 = 20,814.30/x
  3. Step 3: Cross multiply
    27,900.18x = 38,469.74 × 20,814.30
  4. Step 4: Simplify right side
    27,900.18x = 800,720,605.21
  5. Step 5: Solve for x
    x = 800,720,605.21/27,900.18
  6. Step 6: Final answer
    x = 28,699.48

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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.