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Finding the Fourth Proportional to 13,852.62, 20,778.93 and 3,464.37

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Solution

The fourth proportional to 13,852.62, 20,778.93 and 3,464.37 is: 5,196.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,852.62 : 20,778.93 = 3,464.37 : x
  2. Step 2: Convert to fraction form
    13,852.62/20,778.93 = 3,464.37/x
  3. Step 3: Cross multiply
    13,852.62x = 20,778.93 × 3,464.37
  4. Step 4: Simplify right side
    13,852.62x = 71,985,901.72
  5. Step 5: Solve for x
    x = 71,985,901.72/13,852.62
  6. Step 6: Final answer
    x = 5,196.56

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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.