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Finding the Fourth Proportional to 25,704.39, 38,556.59 and 8,174.24

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Solution

The fourth proportional to 25,704.39, 38,556.59 and 8,174.24 is: 12,261.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,704.39 : 38,556.59 = 8,174.24 : x
  2. Step 2: Convert to fraction form
    25,704.39/38,556.59 = 8,174.24/x
  3. Step 3: Cross multiply
    25,704.39x = 38,556.59 × 8,174.24
  4. Step 4: Simplify right side
    25,704.39x = 315,170,586.59
  5. Step 5: Solve for x
    x = 315,170,586.59/25,704.39
  6. Step 6: Final answer
    x = 12,261.35

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