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Finding the Fourth Proportional to 20,004.49, 30,008.46 and 5,213.42

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Solution

The fourth proportional to 20,004.49, 30,008.46 and 5,213.42 is: 7,820.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,004.49 : 30,008.46 = 5,213.42 : x
  2. Step 2: Convert to fraction form
    20,004.49/30,008.46 = 5,213.42/x
  3. Step 3: Cross multiply
    20,004.49x = 30,008.46 × 5,213.42
  4. Step 4: Simplify right side
    20,004.49x = 156,446,555.49
  5. Step 5: Solve for x
    x = 156,446,555.49/20,004.49
  6. Step 6: Final answer
    x = 7,820.57

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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.