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Finding the Fourth Proportional to 20,105.76, 27,740.24 and 11,720.64

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Solution

The fourth proportional to 20,105.76, 27,740.24 and 11,720.64 is: 16,171.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,105.76 : 27,740.24 = 11,720.64 : x
  2. Step 2: Convert to fraction form
    20,105.76/27,740.24 = 11,720.64/x
  3. Step 3: Cross multiply
    20,105.76x = 27,740.24 × 11,720.64
  4. Step 4: Simplify right side
    20,105.76x = 325,133,366.55
  5. Step 5: Solve for x
    x = 325,133,366.55/20,105.76
  6. Step 6: Final answer
    x = 16,171.16

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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.