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Finding the Fourth Proportional to 26,571.38, 36,668.50 and 14,634.68

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Solution

The fourth proportional to 26,571.38, 36,668.50 and 14,634.68 is: 20,195.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,571.38 : 36,668.50 = 14,634.68 : x
  2. Step 2: Convert to fraction form
    26,571.38/36,668.50 = 14,634.68/x
  3. Step 3: Cross multiply
    26,571.38x = 36,668.50 × 14,634.68
  4. Step 4: Simplify right side
    26,571.38x = 536,631,543.65
  5. Step 5: Solve for x
    x = 536,631,543.65/26,571.38
  6. Step 6: Final answer
    x = 20,195.85

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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.