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Finding the Fourth Proportional to 13,887.69, 20,832.87 and 3,892.44

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Solution

The fourth proportional to 13,887.69, 20,832.87 and 3,892.44 is: 5,839.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,887.69 : 20,832.87 = 3,892.44 : x
  2. Step 2: Convert to fraction form
    13,887.69/20,832.87 = 3,892.44/x
  3. Step 3: Cross multiply
    13,887.69x = 20,832.87 × 3,892.44
  4. Step 4: Simplify right side
    13,887.69x = 81,090,696.50
  5. Step 5: Solve for x
    x = 81,090,696.50/13,887.69
  6. Step 6: Final answer
    x = 5,839.03

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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.