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Finding the Fourth Proportional to 20,061.20, 27,683.16 and 12,105.20

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Solution

The fourth proportional to 20,061.20, 27,683.16 and 12,105.20 is: 16,704.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,061.20 : 27,683.16 = 12,105.20 : x
  2. Step 2: Convert to fraction form
    20,061.20/27,683.16 = 12,105.20/x
  3. Step 3: Cross multiply
    20,061.20x = 27,683.16 × 12,105.20
  4. Step 4: Simplify right side
    20,061.20x = 335,110,188.43
  5. Step 5: Solve for x
    x = 335,110,188.43/20,061.20
  6. Step 6: Final answer
    x = 16,704.39

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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.