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Finding the Fourth Proportional to 11,949.72, 17,924.44 and 3,185.32

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Solution

The fourth proportional to 11,949.72, 17,924.44 and 3,185.32 is: 4,777.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,949.72 : 17,924.44 = 3,185.32 : x
  2. Step 2: Convert to fraction form
    11,949.72/17,924.44 = 3,185.32/x
  3. Step 3: Cross multiply
    11,949.72x = 17,924.44 × 3,185.32
  4. Step 4: Simplify right side
    11,949.72x = 57,095,077.22
  5. Step 5: Solve for x
    x = 57,095,077.22/11,949.72
  6. Step 6: Final answer
    x = 4,777.94

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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.