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Finding the Fourth Proportional to 13,858.37, 20,782.16 and 4,496.12

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Solution

The fourth proportional to 13,858.37, 20,782.16 and 4,496.12 is: 6,742.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,858.37 : 20,782.16 = 4,496.12 : x
  2. Step 2: Convert to fraction form
    13,858.37/20,782.16 = 4,496.12/x
  3. Step 3: Cross multiply
    13,858.37x = 20,782.16 × 4,496.12
  4. Step 4: Simplify right side
    13,858.37x = 93,438,958.83
  5. Step 5: Solve for x
    x = 93,438,958.83/13,858.37
  6. Step 6: Final answer
    x = 6,742.42

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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.