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Finding the Fourth Proportional to 27,814.06, 41,723.04 and 11,174.11

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Solution

The fourth proportional to 27,814.06, 41,723.04 and 11,174.11 is: 16,761.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,814.06 : 41,723.04 = 11,174.11 : x
  2. Step 2: Convert to fraction form
    27,814.06/41,723.04 = 11,174.11/x
  3. Step 3: Cross multiply
    27,814.06x = 41,723.04 × 11,174.11
  4. Step 4: Simplify right side
    27,814.06x = 466,217,838.49
  5. Step 5: Solve for x
    x = 466,217,838.49/27,814.06
  6. Step 6: Final answer
    x = 16,761.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.