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Finding the Fourth Proportional to 20,189.26, 27,843.46 and 14,136.40

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Solution

The fourth proportional to 20,189.26, 27,843.46 and 14,136.40 is: 19,495.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,189.26 : 27,843.46 = 14,136.40 : x
  2. Step 2: Convert to fraction form
    20,189.26/27,843.46 = 14,136.40/x
  3. Step 3: Cross multiply
    20,189.26x = 27,843.46 × 14,136.40
  4. Step 4: Simplify right side
    20,189.26x = 393,606,287.94
  5. Step 5: Solve for x
    x = 393,606,287.94/20,189.26
  6. Step 6: Final answer
    x = 19,495.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.