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Finding the Fourth Proportional to 21,493.80, 32,229.23 and 7,450.25

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Solution

The fourth proportional to 21,493.80, 32,229.23 and 7,450.25 is: 11,171.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,493.80 : 32,229.23 = 7,450.25 : x
  2. Step 2: Convert to fraction form
    21,493.80/32,229.23 = 7,450.25/x
  3. Step 3: Cross multiply
    21,493.80x = 32,229.23 × 7,450.25
  4. Step 4: Simplify right side
    21,493.80x = 240,115,622.41
  5. Step 5: Solve for x
    x = 240,115,622.41/21,493.80
  6. Step 6: Final answer
    x = 11,171.39

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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.