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Finding the Fourth Proportional to 24,522.42, 33,840.72 and 13,912.14

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Solution

The fourth proportional to 24,522.42, 33,840.72 and 13,912.14 is: 19,198.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,522.42 : 33,840.72 = 13,912.14 : x
  2. Step 2: Convert to fraction form
    24,522.42/33,840.72 = 13,912.14/x
  3. Step 3: Cross multiply
    24,522.42x = 33,840.72 × 13,912.14
  4. Step 4: Simplify right side
    24,522.42x = 470,796,834.34
  5. Step 5: Solve for x
    x = 470,796,834.34/24,522.42
  6. Step 6: Final answer
    x = 19,198.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.