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Finding the Fourth Proportional to 23,794.62, 35,697.60 and 8,212.38

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Solution

The fourth proportional to 23,794.62, 35,697.60 and 8,212.38 is: 12,320.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,794.62 : 35,697.60 = 8,212.38 : x
  2. Step 2: Convert to fraction form
    23,794.62/35,697.60 = 8,212.38/x
  3. Step 3: Cross multiply
    23,794.62x = 35,697.60 × 8,212.38
  4. Step 4: Simplify right side
    23,794.62x = 293,162,256.29
  5. Step 5: Solve for x
    x = 293,162,256.29/23,794.62
  6. Step 6: Final answer
    x = 12,320.53

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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.