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Finding the Fourth Proportional to 15,544.78, 23,324.06 and 8,147.48

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Solution

The fourth proportional to 15,544.78, 23,324.06 and 8,147.48 is: 12,224.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,544.78 : 23,324.06 = 8,147.48 : x
  2. Step 2: Convert to fraction form
    15,544.78/23,324.06 = 8,147.48/x
  3. Step 3: Cross multiply
    15,544.78x = 23,324.06 × 8,147.48
  4. Step 4: Simplify right side
    15,544.78x = 190,032,216.12
  5. Step 5: Solve for x
    x = 190,032,216.12/15,544.78
  6. Step 6: Final answer
    x = 12,224.83

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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.