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Finding the Fourth Proportional to 23,867.82, 35,792.49 and 8,068.62

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Solution

The fourth proportional to 23,867.82, 35,792.49 and 8,068.62 is: 12,099.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,867.82 : 35,792.49 = 8,068.62 : x
  2. Step 2: Convert to fraction form
    23,867.82/35,792.49 = 8,068.62/x
  3. Step 3: Cross multiply
    23,867.82x = 35,792.49 × 8,068.62
  4. Step 4: Simplify right side
    23,867.82x = 288,796,000.66
  5. Step 5: Solve for x
    x = 288,796,000.66/23,867.82
  6. Step 6: Final answer
    x = 12,099.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.