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Finding the Fourth Proportional to 20,185.44, 27,855 and 11,232.24

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Solution

The fourth proportional to 20,185.44, 27,855 and 11,232.24 is: 15,499.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,185.44 : 27,855 = 11,232.24 : x
  2. Step 2: Convert to fraction form
    20,185.44/27,855 = 11,232.24/x
  3. Step 3: Cross multiply
    20,185.44x = 27,855 × 11,232.24
  4. Step 4: Simplify right side
    20,185.44x = 312,874,045.20
  5. Step 5: Solve for x
    x = 312,874,045.20/20,185.44
  6. Step 6: Final answer
    x = 15,499.99

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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.