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Finding the Fourth Proportional to 17,384.62, 23,984.49 and 11,419.50

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Solution

The fourth proportional to 17,384.62, 23,984.49 and 11,419.50 is: 15,754.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,384.62 : 23,984.49 = 11,419.50 : x
  2. Step 2: Convert to fraction form
    17,384.62/23,984.49 = 11,419.50/x
  3. Step 3: Cross multiply
    17,384.62x = 23,984.49 × 11,419.50
  4. Step 4: Simplify right side
    17,384.62x = 273,890,883.56
  5. Step 5: Solve for x
    x = 273,890,883.56/17,384.62
  6. Step 6: Final answer
    x = 15,754.78

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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.