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Finding the Fourth Proportional to 13,963.97, 20,946.51 and 4,103.03

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Solution

The fourth proportional to 13,963.97, 20,946.51 and 4,103.03 is: 6,154.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,963.97 : 20,946.51 = 4,103.03 : x
  2. Step 2: Convert to fraction form
    13,963.97/20,946.51 = 4,103.03/x
  3. Step 3: Cross multiply
    13,963.97x = 20,946.51 × 4,103.03
  4. Step 4: Simplify right side
    13,963.97x = 85,944,211.29
  5. Step 5: Solve for x
    x = 85,944,211.29/13,963.97
  6. Step 6: Final answer
    x = 6,154.71

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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.