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Finding the Fourth Proportional to 20,495.01, 30,705.44 and 9,410.97

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Solution

The fourth proportional to 20,495.01, 30,705.44 and 9,410.97 is: 14,099.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,495.01 : 30,705.44 = 9,410.97 : x
  2. Step 2: Convert to fraction form
    20,495.01/30,705.44 = 9,410.97/x
  3. Step 3: Cross multiply
    20,495.01x = 30,705.44 × 9,410.97
  4. Step 4: Simplify right side
    20,495.01x = 288,967,927.62
  5. Step 5: Solve for x
    x = 288,967,927.62/20,495.01
  6. Step 6: Final answer
    x = 14,099.43

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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.