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Finding the Fourth Proportional to 20,468.82, 30,700.18 and 5,676.20

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Solution

The fourth proportional to 20,468.82, 30,700.18 and 5,676.20 is: 8,513.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,468.82 : 30,700.18 = 5,676.20 : x
  2. Step 2: Convert to fraction form
    20,468.82/30,700.18 = 5,676.20/x
  3. Step 3: Cross multiply
    20,468.82x = 30,700.18 × 5,676.20
  4. Step 4: Simplify right side
    20,468.82x = 174,260,361.72
  5. Step 5: Solve for x
    x = 174,260,361.72/20,468.82
  6. Step 6: Final answer
    x = 8,513.45

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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.