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Finding the Fourth Proportional to 23,514.56, 35,274.11 and 6,874.22

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Solution

The fourth proportional to 23,514.56, 35,274.11 and 6,874.22 is: 10,311.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,514.56 : 35,274.11 = 6,874.22 : x
  2. Step 2: Convert to fraction form
    23,514.56/35,274.11 = 6,874.22/x
  3. Step 3: Cross multiply
    23,514.56x = 35,274.11 × 6,874.22
  4. Step 4: Simplify right side
    23,514.56x = 242,481,992.44
  5. Step 5: Solve for x
    x = 242,481,992.44/23,514.56
  6. Step 6: Final answer
    x = 10,311.99

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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.