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Finding the Fourth Proportional to 18,105.76, 27,141.64 and 9,338.32

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Solution

The fourth proportional to 18,105.76, 27,141.64 and 9,338.32 is: 13,998.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,105.76 : 27,141.64 = 9,338.32 : x
  2. Step 2: Convert to fraction form
    18,105.76/27,141.64 = 9,338.32/x
  3. Step 3: Cross multiply
    18,105.76x = 27,141.64 × 9,338.32
  4. Step 4: Simplify right side
    18,105.76x = 253,457,319.64
  5. Step 5: Solve for x
    x = 253,457,319.64/18,105.76
  6. Step 6: Final answer
    x = 13,998.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.