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Finding the Fourth Proportional to 18,736.38, 25,843.50 and 11,666.16

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Solution

The fourth proportional to 18,736.38, 25,843.50 and 11,666.16 is: 16,091.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,736.38 : 25,843.50 = 11,666.16 : x
  2. Step 2: Convert to fraction form
    18,736.38/25,843.50 = 11,666.16/x
  3. Step 3: Cross multiply
    18,736.38x = 25,843.50 × 11,666.16
  4. Step 4: Simplify right side
    18,736.38x = 301,494,405.96
  5. Step 5: Solve for x
    x = 301,494,405.96/18,736.38
  6. Step 6: Final answer
    x = 16,091.39

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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.