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Finding the Fourth Proportional to 13,963.92, 20,947.19 and 4,604.01

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Solution

The fourth proportional to 13,963.92, 20,947.19 and 4,604.01 is: 6,906.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,963.92 : 20,947.19 = 4,604.01 : x
  2. Step 2: Convert to fraction form
    13,963.92/20,947.19 = 4,604.01/x
  3. Step 3: Cross multiply
    13,963.92x = 20,947.19 × 4,604.01
  4. Step 4: Simplify right side
    13,963.92x = 96,441,049.21
  5. Step 5: Solve for x
    x = 96,441,049.21/13,963.92
  6. Step 6: Final answer
    x = 6,906.45

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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.