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Finding the Fourth Proportional to 20,819, 31,209.96 and 7,668.20

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Solution

The fourth proportional to 20,819, 31,209.96 and 7,668.20 is: 11,495.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,819 : 31,209.96 = 7,668.20 : x
  2. Step 2: Convert to fraction form
    20,819/31,209.96 = 7,668.20/x
  3. Step 3: Cross multiply
    20,819x = 31,209.96 × 7,668.20
  4. Step 4: Simplify right side
    20,819x = 239,324,215.27
  5. Step 5: Solve for x
    x = 239,324,215.27/20,819
  6. Step 6: Final answer
    x = 11,495.47

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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.