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Finding the Fourth Proportional to 20,616.30, 30,926.12 and 5,825.34

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Solution

The fourth proportional to 20,616.30, 30,926.12 and 5,825.34 is: 8,738.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,616.30 : 30,926.12 = 5,825.34 : x
  2. Step 2: Convert to fraction form
    20,616.30/30,926.12 = 5,825.34/x
  3. Step 3: Cross multiply
    20,616.30x = 30,926.12 × 5,825.34
  4. Step 4: Simplify right side
    20,616.30x = 180,155,163.88
  5. Step 5: Solve for x
    x = 180,155,163.88/20,616.30
  6. Step 6: Final answer
    x = 8,738.48

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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.