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Finding the Fourth Proportional to 20,806.74, 31,222.44 and 7,668.34

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Solution

The fourth proportional to 20,806.74, 31,222.44 and 7,668.34 is: 11,507.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,806.74 : 31,222.44 = 7,668.34 : x
  2. Step 2: Convert to fraction form
    20,806.74/31,222.44 = 7,668.34/x
  3. Step 3: Cross multiply
    20,806.74x = 31,222.44 × 7,668.34
  4. Step 4: Simplify right side
    20,806.74x = 239,424,285.55
  5. Step 5: Solve for x
    x = 239,424,285.55/20,806.74
  6. Step 6: Final answer
    x = 11,507.05

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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.