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Finding the Fourth Proportional to 13,852.63, 20,782.50 and 3,992.68

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Solution

The fourth proportional to 13,852.63, 20,782.50 and 3,992.68 is: 5,990.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,852.63 : 20,782.50 = 3,992.68 : x
  2. Step 2: Convert to fraction form
    13,852.63/20,782.50 = 3,992.68/x
  3. Step 3: Cross multiply
    13,852.63x = 20,782.50 × 3,992.68
  4. Step 4: Simplify right side
    13,852.63x = 82,977,872.10
  5. Step 5: Solve for x
    x = 82,977,872.10/13,852.63
  6. Step 6: Final answer
    x = 5,990.04

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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.