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Finding the Fourth Proportional to 17,824.44, 26,742.77 and 6,734.33

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Solution

The fourth proportional to 17,824.44, 26,742.77 and 6,734.33 is: 10,103.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,824.44 : 26,742.77 = 6,734.33 : x
  2. Step 2: Convert to fraction form
    17,824.44/26,742.77 = 6,734.33/x
  3. Step 3: Cross multiply
    17,824.44x = 26,742.77 × 6,734.33
  4. Step 4: Simplify right side
    17,824.44x = 180,094,470.91
  5. Step 5: Solve for x
    x = 180,094,470.91/17,824.44
  6. Step 6: Final answer
    x = 10,103.79

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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.