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Finding the Fourth Proportional to 24,629.94, 36,948.60 and 7,984.44

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Solution

The fourth proportional to 24,629.94, 36,948.60 and 7,984.44 is: 11,977.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,629.94 : 36,948.60 = 7,984.44 : x
  2. Step 2: Convert to fraction form
    24,629.94/36,948.60 = 7,984.44/x
  3. Step 3: Cross multiply
    24,629.94x = 36,948.60 × 7,984.44
  4. Step 4: Simplify right side
    24,629.94x = 295,013,879.78
  5. Step 5: Solve for x
    x = 295,013,879.78/24,629.94
  6. Step 6: Final answer
    x = 11,977.86

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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.