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Finding the Fourth Proportional to 12,195.33, 18,294.73 and 3,762.54

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Solution

The fourth proportional to 12,195.33, 18,294.73 and 3,762.54 is: 5,644.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,195.33 : 18,294.73 = 3,762.54 : x
  2. Step 2: Convert to fraction form
    12,195.33/18,294.73 = 3,762.54/x
  3. Step 3: Cross multiply
    12,195.33x = 18,294.73 × 3,762.54
  4. Step 4: Simplify right side
    12,195.33x = 68,834,644.01
  5. Step 5: Solve for x
    x = 68,834,644.01/12,195.33
  6. Step 6: Final answer
    x = 5,644.35

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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.