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Finding the Fourth Proportional to 13,680.98, 20,525.79 and 5,893.46

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Solution

The fourth proportional to 13,680.98, 20,525.79 and 5,893.46 is: 8,842.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,680.98 : 20,525.79 = 5,893.46 : x
  2. Step 2: Convert to fraction form
    13,680.98/20,525.79 = 5,893.46/x
  3. Step 3: Cross multiply
    13,680.98x = 20,525.79 × 5,893.46
  4. Step 4: Simplify right side
    13,680.98x = 120,967,922.33
  5. Step 5: Solve for x
    x = 120,967,922.33/13,680.98
  6. Step 6: Final answer
    x = 8,842.05

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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.