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Finding the Fourth Proportional to 23,629.62, 32,608.74 and 12,874.48

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Solution

The fourth proportional to 23,629.62, 32,608.74 and 12,874.48 is: 17,766.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,629.62 : 32,608.74 = 12,874.48 : x
  2. Step 2: Convert to fraction form
    23,629.62/32,608.74 = 12,874.48/x
  3. Step 3: Cross multiply
    23,629.62x = 32,608.74 × 12,874.48
  4. Step 4: Simplify right side
    23,629.62x = 419,820,537.71
  5. Step 5: Solve for x
    x = 419,820,537.71/23,629.62
  6. Step 6: Final answer
    x = 17,766.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.