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Finding the Fourth Proportional to 20,493.44, 30,719.64 and 7,996.27

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Solution

The fourth proportional to 20,493.44, 30,719.64 and 7,996.27 is: 11,986.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,493.44 : 30,719.64 = 7,996.27 : x
  2. Step 2: Convert to fraction form
    20,493.44/30,719.64 = 7,996.27/x
  3. Step 3: Cross multiply
    20,493.44x = 30,719.64 × 7,996.27
  4. Step 4: Simplify right side
    20,493.44x = 245,642,495.76
  5. Step 5: Solve for x
    x = 245,642,495.76/20,493.44
  6. Step 6: Final answer
    x = 11,986.40

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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.