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Finding the Fourth Proportional to 18,504.44, 27,742.08 and 6,811.28

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Solution

The fourth proportional to 18,504.44, 27,742.08 and 6,811.28 is: 10,211.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,504.44 : 27,742.08 = 6,811.28 : x
  2. Step 2: Convert to fraction form
    18,504.44/27,742.08 = 6,811.28/x
  3. Step 3: Cross multiply
    18,504.44x = 27,742.08 × 6,811.28
  4. Step 4: Simplify right side
    18,504.44x = 188,959,074.66
  5. Step 5: Solve for x
    x = 188,959,074.66/18,504.44
  6. Step 6: Final answer
    x = 10,211.55

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Why These Related Problems?

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