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Finding the Fourth Proportional to 20,171.22, 30,260.94 and 7,024.62

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Solution

The fourth proportional to 20,171.22, 30,260.94 and 7,024.62 is: 10,538.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,171.22 : 30,260.94 = 7,024.62 : x
  2. Step 2: Convert to fraction form
    20,171.22/30,260.94 = 7,024.62/x
  3. Step 3: Cross multiply
    20,171.22x = 30,260.94 × 7,024.62
  4. Step 4: Simplify right side
    20,171.22x = 212,571,604.34
  5. Step 5: Solve for x
    x = 212,571,604.34/20,171.22
  6. Step 6: Final answer
    x = 10,538.36

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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.