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Finding the Fourth Proportional to 24,882.84, 34,338.32 and 13,704.84

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Solution

The fourth proportional to 24,882.84, 34,338.32 and 13,704.84 is: 18,912.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,882.84 : 34,338.32 = 13,704.84 : x
  2. Step 2: Convert to fraction form
    24,882.84/34,338.32 = 13,704.84/x
  3. Step 3: Cross multiply
    24,882.84x = 34,338.32 × 13,704.84
  4. Step 4: Simplify right side
    24,882.84x = 470,601,370.20
  5. Step 5: Solve for x
    x = 470,601,370.20/24,882.84
  6. Step 6: Final answer
    x = 18,912.68

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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.