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Finding the Fourth Proportional to 17,149.84, 23,635.20 and 14,147.44

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Solution

The fourth proportional to 17,149.84, 23,635.20 and 14,147.44 is: 19,497.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,149.84 : 23,635.20 = 14,147.44 : x
  2. Step 2: Convert to fraction form
    17,149.84/23,635.20 = 14,147.44/x
  3. Step 3: Cross multiply
    17,149.84x = 23,635.20 × 14,147.44
  4. Step 4: Simplify right side
    17,149.84x = 334,377,573.89
  5. Step 5: Solve for x
    x = 334,377,573.89/17,149.84
  6. Step 6: Final answer
    x = 19,497.42

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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.