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Finding the Fourth Proportional to 20,806.16, 31,221.54 and 7,667.78

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Solution

The fourth proportional to 20,806.16, 31,221.54 and 7,667.78 is: 11,506.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,806.16 : 31,221.54 = 7,667.78 : x
  2. Step 2: Convert to fraction form
    20,806.16/31,221.54 = 7,667.78/x
  3. Step 3: Cross multiply
    20,806.16x = 31,221.54 × 7,667.78
  4. Step 4: Simplify right side
    20,806.16x = 239,399,743.87
  5. Step 5: Solve for x
    x = 239,399,743.87/20,806.16
  6. Step 6: Final answer
    x = 11,506.20

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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.