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Finding the Fourth Proportional to 21,142.12, 31,716.78 and 7,287.88

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Solution

The fourth proportional to 21,142.12, 31,716.78 and 7,287.88 is: 10,933.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,142.12 : 31,716.78 = 7,287.88 : x
  2. Step 2: Convert to fraction form
    21,142.12/31,716.78 = 7,287.88/x
  3. Step 3: Cross multiply
    21,142.12x = 31,716.78 × 7,287.88
  4. Step 4: Simplify right side
    21,142.12x = 231,147,891.60
  5. Step 5: Solve for x
    x = 231,147,891.60/21,142.12
  6. Step 6: Final answer
    x = 10,933.05

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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.