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Finding the Fourth Proportional to 12,227.72, 18,344.04 and 3,907.48

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Solution

The fourth proportional to 12,227.72, 18,344.04 and 3,907.48 is: 5,862.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,227.72 : 18,344.04 = 3,907.48 : x
  2. Step 2: Convert to fraction form
    12,227.72/18,344.04 = 3,907.48/x
  3. Step 3: Cross multiply
    12,227.72x = 18,344.04 × 3,907.48
  4. Step 4: Simplify right side
    12,227.72x = 71,678,969.42
  5. Step 5: Solve for x
    x = 71,678,969.42/12,227.72
  6. Step 6: Final answer
    x = 5,862.01

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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.