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Finding the Fourth Proportional to 19,704.22, 27,186.98 and 12,640.21

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Solution

The fourth proportional to 19,704.22, 27,186.98 and 12,640.21 is: 17,440.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,704.22 : 27,186.98 = 12,640.21 : x
  2. Step 2: Convert to fraction form
    19,704.22/27,186.98 = 12,640.21/x
  3. Step 3: Cross multiply
    19,704.22x = 27,186.98 × 12,640.21
  4. Step 4: Simplify right side
    19,704.22x = 343,649,005.30
  5. Step 5: Solve for x
    x = 343,649,005.30/19,704.22
  6. Step 6: Final answer
    x = 17,440.38

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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.