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Finding the Fourth Proportional to 13,874.72, 19,234.91 and 13,126.28

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Solution

The fourth proportional to 13,874.72, 19,234.91 and 13,126.28 is: 18,197.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,874.72 : 19,234.91 = 13,126.28 : x
  2. Step 2: Convert to fraction form
    13,874.72/19,234.91 = 13,126.28/x
  3. Step 3: Cross multiply
    13,874.72x = 19,234.91 × 13,126.28
  4. Step 4: Simplify right side
    13,874.72x = 252,482,814.43
  5. Step 5: Solve for x
    x = 252,482,814.43/13,874.72
  6. Step 6: Final answer
    x = 18,197.33

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.