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Finding the Fourth Proportional to 20,503.44, 30,744.52 and 9,400.57

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Solution

The fourth proportional to 20,503.44, 30,744.52 and 9,400.57 is: 14,095.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,503.44 : 30,744.52 = 9,400.57 : x
  2. Step 2: Convert to fraction form
    20,503.44/30,744.52 = 9,400.57/x
  3. Step 3: Cross multiply
    20,503.44x = 30,744.52 × 9,400.57
  4. Step 4: Simplify right side
    20,503.44x = 289,015,912.01
  5. Step 5: Solve for x
    x = 289,015,912.01/20,503.44
  6. Step 6: Final answer
    x = 14,095.97

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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.