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Finding the Fourth Proportional to 20,105.68, 27,727.67 and 12,552.70

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Solution

The fourth proportional to 20,105.68, 27,727.67 and 12,552.70 is: 17,311.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,105.68 : 27,727.67 = 12,552.70 : x
  2. Step 2: Convert to fraction form
    20,105.68/27,727.67 = 12,552.70/x
  3. Step 3: Cross multiply
    20,105.68x = 27,727.67 × 12,552.70
  4. Step 4: Simplify right side
    20,105.68x = 348,056,921.81
  5. Step 5: Solve for x
    x = 348,056,921.81/20,105.68
  6. Step 6: Final answer
    x = 17,311.38

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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.