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Finding the Fourth Proportional to 12,144.42, 18,219.69 and 3,824.10

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Solution

The fourth proportional to 12,144.42, 18,219.69 and 3,824.10 is: 5,737.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,144.42 : 18,219.69 = 3,824.10 : x
  2. Step 2: Convert to fraction form
    12,144.42/18,219.69 = 3,824.10/x
  3. Step 3: Cross multiply
    12,144.42x = 18,219.69 × 3,824.10
  4. Step 4: Simplify right side
    12,144.42x = 69,673,916.53
  5. Step 5: Solve for x
    x = 69,673,916.53/12,144.42
  6. Step 6: Final answer
    x = 5,737.11

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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.