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Finding the Fourth Proportional to 13,978.37, 20,963.23 and 5,217.41

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Solution

The fourth proportional to 13,978.37, 20,963.23 and 5,217.41 is: 7,824.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,978.37 : 20,963.23 = 5,217.41 : x
  2. Step 2: Convert to fraction form
    13,978.37/20,963.23 = 5,217.41/x
  3. Step 3: Cross multiply
    13,978.37x = 20,963.23 × 5,217.41
  4. Step 4: Simplify right side
    13,978.37x = 109,373,765.83
  5. Step 5: Solve for x
    x = 109,373,765.83/13,978.37
  6. Step 6: Final answer
    x = 7,824.50

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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.