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Finding the Fourth Proportional to 20,143.97, 30,213.54 and 5,354.02

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Solution

The fourth proportional to 20,143.97, 30,213.54 and 5,354.02 is: 8,030.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,143.97 : 30,213.54 = 5,354.02 : x
  2. Step 2: Convert to fraction form
    20,143.97/30,213.54 = 5,354.02/x
  3. Step 3: Cross multiply
    20,143.97x = 30,213.54 × 5,354.02
  4. Step 4: Simplify right side
    20,143.97x = 161,763,821.90
  5. Step 5: Solve for x
    x = 161,763,821.90/20,143.97
  6. Step 6: Final answer
    x = 8,030.39

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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.