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Finding the Fourth Proportional to 17,540.58, 26,311.41 and 7,674.78

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Solution

The fourth proportional to 17,540.58, 26,311.41 and 7,674.78 is: 11,512.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,540.58 : 26,311.41 = 7,674.78 : x
  2. Step 2: Convert to fraction form
    17,540.58/26,311.41 = 7,674.78/x
  3. Step 3: Cross multiply
    17,540.58x = 26,311.41 × 7,674.78
  4. Step 4: Simplify right side
    17,540.58x = 201,934,283.24
  5. Step 5: Solve for x
    x = 201,934,283.24/17,540.58
  6. Step 6: Final answer
    x = 11,512.41

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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.