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Finding the Fourth Proportional to 18,524.24, 27,785.64 and 7,427.60

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Solution

The fourth proportional to 18,524.24, 27,785.64 and 7,427.60 is: 11,141.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,524.24 : 27,785.64 = 7,427.60 : x
  2. Step 2: Convert to fraction form
    18,524.24/27,785.64 = 7,427.60/x
  3. Step 3: Cross multiply
    18,524.24x = 27,785.64 × 7,427.60
  4. Step 4: Simplify right side
    18,524.24x = 206,380,619.66
  5. Step 5: Solve for x
    x = 206,380,619.66/18,524.24
  6. Step 6: Final answer
    x = 11,141.11

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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.