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Finding the Fourth Proportional to 12,144.79, 18,217.93 and 3,825.08

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Solution

The fourth proportional to 12,144.79, 18,217.93 and 3,825.08 is: 5,737.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,144.79 : 18,217.93 = 3,825.08 : x
  2. Step 2: Convert to fraction form
    12,144.79/18,217.93 = 3,825.08/x
  3. Step 3: Cross multiply
    12,144.79x = 18,217.93 × 3,825.08
  4. Step 4: Simplify right side
    12,144.79x = 69,685,039.68
  5. Step 5: Solve for x
    x = 69,685,039.68/12,144.79
  6. Step 6: Final answer
    x = 5,737.85

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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.