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Finding the Fourth Proportional to 17,133.75, 25,704.96 and 4,821.75

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Solution

The fourth proportional to 17,133.75, 25,704.96 and 4,821.75 is: 7,233.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,133.75 : 25,704.96 = 4,821.75 : x
  2. Step 2: Convert to fraction form
    17,133.75/25,704.96 = 4,821.75/x
  3. Step 3: Cross multiply
    17,133.75x = 25,704.96 × 4,821.75
  4. Step 4: Simplify right side
    17,133.75x = 123,942,890.88
  5. Step 5: Solve for x
    x = 123,942,890.88/17,133.75
  6. Step 6: Final answer
    x = 7,233.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.