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Finding the Fourth Proportional to 25,234.43, 37,851.74 and 7,704.20

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Solution

The fourth proportional to 25,234.43, 37,851.74 and 7,704.20 is: 11,556.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,234.43 : 37,851.74 = 7,704.20 : x
  2. Step 2: Convert to fraction form
    25,234.43/37,851.74 = 7,704.20/x
  3. Step 3: Cross multiply
    25,234.43x = 37,851.74 × 7,704.20
  4. Step 4: Simplify right side
    25,234.43x = 291,617,147.53
  5. Step 5: Solve for x
    x = 291,617,147.53/25,234.43
  6. Step 6: Final answer
    x = 11,556.32

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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.