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Finding the Fourth Proportional to 23,874.84, 35,834.14 and 12,794.04

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Solution

The fourth proportional to 23,874.84, 35,834.14 and 12,794.04 is: 19,202.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,874.84 : 35,834.14 = 12,794.04 : x
  2. Step 2: Convert to fraction form
    23,874.84/35,834.14 = 12,794.04/x
  3. Step 3: Cross multiply
    23,874.84x = 35,834.14 × 12,794.04
  4. Step 4: Simplify right side
    23,874.84x = 458,463,420.53
  5. Step 5: Solve for x
    x = 458,463,420.53/23,874.84
  6. Step 6: Final answer
    x = 19,202.79

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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.