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Finding the Fourth Proportional to 12,144.78, 18,217.80 and 3,825.06

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Solution

The fourth proportional to 12,144.78, 18,217.80 and 3,825.06 is: 5,737.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,144.78 : 18,217.80 = 3,825.06 : x
  2. Step 2: Convert to fraction form
    12,144.78/18,217.80 = 3,825.06/x
  3. Step 3: Cross multiply
    12,144.78x = 18,217.80 × 3,825.06
  4. Step 4: Simplify right side
    12,144.78x = 69,684,178.07
  5. Step 5: Solve for x
    x = 69,684,178.07/12,144.78
  6. Step 6: Final answer
    x = 5,737.79

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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.