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Finding the Fourth Proportional to 17,094, 25,641.96 and 4,782.96

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Solution

The fourth proportional to 17,094, 25,641.96 and 4,782.96 is: 7,174.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,094 : 25,641.96 = 4,782.96 : x
  2. Step 2: Convert to fraction form
    17,094/25,641.96 = 4,782.96/x
  3. Step 3: Cross multiply
    17,094x = 25,641.96 × 4,782.96
  4. Step 4: Simplify right side
    17,094x = 122,644,469.00
  5. Step 5: Solve for x
    x = 122,644,469.00/17,094
  6. Step 6: Final answer
    x = 7,174.71

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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.