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Finding the Fourth Proportional to 13,846.50, 20,778.39 and 5,638.50

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Solution

The fourth proportional to 13,846.50, 20,778.39 and 5,638.50 is: 8,461.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,846.50 : 20,778.39 = 5,638.50 : x
  2. Step 2: Convert to fraction form
    13,846.50/20,778.39 = 5,638.50/x
  3. Step 3: Cross multiply
    13,846.50x = 20,778.39 × 5,638.50
  4. Step 4: Simplify right side
    13,846.50x = 117,158,952.02
  5. Step 5: Solve for x
    x = 117,158,952.02/13,846.50
  6. Step 6: Final answer
    x = 8,461.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.