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Finding the Fourth Proportional to 23,714.62, 35,571.92 and 7,086.32

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Solution

The fourth proportional to 23,714.62, 35,571.92 and 7,086.32 is: 10,629.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,714.62 : 35,571.92 = 7,086.32 : x
  2. Step 2: Convert to fraction form
    23,714.62/35,571.92 = 7,086.32/x
  3. Step 3: Cross multiply
    23,714.62x = 35,571.92 × 7,086.32
  4. Step 4: Simplify right side
    23,714.62x = 252,074,008.13
  5. Step 5: Solve for x
    x = 252,074,008.13/23,714.62
  6. Step 6: Final answer
    x = 10,629.48

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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.