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Finding the Fourth Proportional to 20,186.26, 27,841.26 and 13,114.96

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Solution

The fourth proportional to 20,186.26, 27,841.26 and 13,114.96 is: 18,088.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,186.26 : 27,841.26 = 13,114.96 : x
  2. Step 2: Convert to fraction form
    20,186.26/27,841.26 = 13,114.96/x
  3. Step 3: Cross multiply
    20,186.26x = 27,841.26 × 13,114.96
  4. Step 4: Simplify right side
    20,186.26x = 365,137,011.25
  5. Step 5: Solve for x
    x = 365,137,011.25/20,186.26
  6. Step 6: Final answer
    x = 18,088.39

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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.