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Finding the Fourth Proportional to 20,206, 27,887.52 and 11,706.64

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Solution

The fourth proportional to 20,206, 27,887.52 and 11,706.64 is: 16,157.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,206 : 27,887.52 = 11,706.64 : x
  2. Step 2: Convert to fraction form
    20,206/27,887.52 = 11,706.64/x
  3. Step 3: Cross multiply
    20,206x = 27,887.52 × 11,706.64
  4. Step 4: Simplify right side
    20,206x = 326,469,157.13
  5. Step 5: Solve for x
    x = 326,469,157.13/20,206
  6. Step 6: Final answer
    x = 16,157.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.