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Finding the Fourth Proportional to 23,514.62, 35,273.97 and 7,714.91

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Solution

The fourth proportional to 23,514.62, 35,273.97 and 7,714.91 is: 11,573.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,514.62 : 35,273.97 = 7,714.91 : x
  2. Step 2: Convert to fraction form
    23,514.62/35,273.97 = 7,714.91/x
  3. Step 3: Cross multiply
    23,514.62x = 35,273.97 × 7,714.91
  4. Step 4: Simplify right side
    23,514.62x = 272,135,327.52
  5. Step 5: Solve for x
    x = 272,135,327.52/23,514.62
  6. Step 6: Final answer
    x = 11,573.03

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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.