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Finding the Fourth Proportional to 15,704.54, 23,556.80 and 7,378.44

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Solution

The fourth proportional to 15,704.54, 23,556.80 and 7,378.44 is: 11,067.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,704.54 : 23,556.80 = 7,378.44 : x
  2. Step 2: Convert to fraction form
    15,704.54/23,556.80 = 7,378.44/x
  3. Step 3: Cross multiply
    15,704.54x = 23,556.80 × 7,378.44
  4. Step 4: Simplify right side
    15,704.54x = 173,812,435.39
  5. Step 5: Solve for x
    x = 173,812,435.39/15,704.54
  6. Step 6: Final answer
    x = 11,067.66

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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.