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Finding the Fourth Proportional to 27,795.69, 41,709.87 and 14,469.57

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Solution

The fourth proportional to 27,795.69, 41,709.87 and 14,469.57 is: 21,712.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,795.69 : 41,709.87 = 14,469.57 : x
  2. Step 2: Convert to fraction form
    27,795.69/41,709.87 = 14,469.57/x
  3. Step 3: Cross multiply
    27,795.69x = 41,709.87 × 14,469.57
  4. Step 4: Simplify right side
    27,795.69x = 603,523,883.66
  5. Step 5: Solve for x
    x = 603,523,883.66/27,795.69
  6. Step 6: Final answer
    x = 21,712.86

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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.