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Finding the Fourth Proportional to 20,086.04, 27,720.70 and 11,702

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Solution

The fourth proportional to 20,086.04, 27,720.70 and 11,702 is: 16,149.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,086.04 : 27,720.70 = 11,702 : x
  2. Step 2: Convert to fraction form
    20,086.04/27,720.70 = 11,702/x
  3. Step 3: Cross multiply
    20,086.04x = 27,720.70 × 11,702
  4. Step 4: Simplify right side
    20,086.04x = 324,387,631.40
  5. Step 5: Solve for x
    x = 324,387,631.40/20,086.04
  6. Step 6: Final answer
    x = 16,149.90

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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.