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Finding the Fourth Proportional to 13,863.16, 20,792.22 and 4,000

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Solution

The fourth proportional to 13,863.16, 20,792.22 and 4,000 is: 5,999.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,863.16 : 20,792.22 = 4,000 : x
  2. Step 2: Convert to fraction form
    13,863.16/20,792.22 = 4,000/x
  3. Step 3: Cross multiply
    13,863.16x = 20,792.22 × 4,000
  4. Step 4: Simplify right side
    13,863.16x = 83,168,880
  5. Step 5: Solve for x
    x = 83,168,880/13,863.16
  6. Step 6: Final answer
    x = 5,999.27

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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.