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Finding the Fourth Proportional to 20,550.34, 30,814.40 and 7,219.89

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Solution

The fourth proportional to 20,550.34, 30,814.40 and 7,219.89 is: 10,825.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,550.34 : 30,814.40 = 7,219.89 : x
  2. Step 2: Convert to fraction form
    20,550.34/30,814.40 = 7,219.89/x
  3. Step 3: Cross multiply
    20,550.34x = 30,814.40 × 7,219.89
  4. Step 4: Simplify right side
    20,550.34x = 222,476,542.32
  5. Step 5: Solve for x
    x = 222,476,542.32/20,550.34
  6. Step 6: Final answer
    x = 10,825.93

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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.