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Finding the Fourth Proportional to 13,682.08, 20,491.97 and 9,525.20

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Solution

The fourth proportional to 13,682.08, 20,491.97 and 9,525.20 is: 14,266.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,682.08 : 20,491.97 = 9,525.20 : x
  2. Step 2: Convert to fraction form
    13,682.08/20,491.97 = 9,525.20/x
  3. Step 3: Cross multiply
    13,682.08x = 20,491.97 × 9,525.20
  4. Step 4: Simplify right side
    13,682.08x = 195,190,112.64
  5. Step 5: Solve for x
    x = 195,190,112.64/13,682.08
  6. Step 6: Final answer
    x = 14,266.12

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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.