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Finding the Fourth Proportional to 20,452.20, 30,635.10 and 16,564.20

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Solution

The fourth proportional to 20,452.20, 30,635.10 and 16,564.20 is: 24,811.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,452.20 : 30,635.10 = 16,564.20 : x
  2. Step 2: Convert to fraction form
    20,452.20/30,635.10 = 16,564.20/x
  3. Step 3: Cross multiply
    20,452.20x = 30,635.10 × 16,564.20
  4. Step 4: Simplify right side
    20,452.20x = 507,445,923.42
  5. Step 5: Solve for x
    x = 507,445,923.42/20,452.20
  6. Step 6: Final answer
    x = 24,811.31

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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.