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Finding the Fourth Proportional to 20,564.37, 30,859.25 and 8,082.20

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Solution

The fourth proportional to 20,564.37, 30,859.25 and 8,082.20 is: 12,128.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,564.37 : 30,859.25 = 8,082.20 : x
  2. Step 2: Convert to fraction form
    20,564.37/30,859.25 = 8,082.20/x
  3. Step 3: Cross multiply
    20,564.37x = 30,859.25 × 8,082.20
  4. Step 4: Simplify right side
    20,564.37x = 249,410,667.09
  5. Step 5: Solve for x
    x = 249,410,667.09/20,564.37
  6. Step 6: Final answer
    x = 12,128.29

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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.