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Finding the Fourth Proportional to 21,651.12, 32,474.84 and 6,857.88

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Solution

The fourth proportional to 21,651.12, 32,474.84 and 6,857.88 is: 10,286.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,651.12 : 32,474.84 = 6,857.88 : x
  2. Step 2: Convert to fraction form
    21,651.12/32,474.84 = 6,857.88/x
  3. Step 3: Cross multiply
    21,651.12x = 32,474.84 × 6,857.88
  4. Step 4: Simplify right side
    21,651.12x = 222,708,555.74
  5. Step 5: Solve for x
    x = 222,708,555.74/21,651.12
  6. Step 6: Final answer
    x = 10,286.24

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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.