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Finding the Fourth Proportional to 20,551.98, 30,829.34 and 7,223.34

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Solution

The fourth proportional to 20,551.98, 30,829.34 and 7,223.34 is: 10,835.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,551.98 : 30,829.34 = 7,223.34 : x
  2. Step 2: Convert to fraction form
    20,551.98/30,829.34 = 7,223.34/x
  3. Step 3: Cross multiply
    20,551.98x = 30,829.34 × 7,223.34
  4. Step 4: Simplify right side
    20,551.98x = 222,690,804.80
  5. Step 5: Solve for x
    x = 222,690,804.80/20,551.98
  6. Step 6: Final answer
    x = 10,835.49

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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.