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Finding the Fourth Proportional to 13,163.91, 19,714.31 and 9,596.49

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Solution

The fourth proportional to 13,163.91, 19,714.31 and 9,596.49 is: 14,371.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,163.91 : 19,714.31 = 9,596.49 : x
  2. Step 2: Convert to fraction form
    13,163.91/19,714.31 = 9,596.49/x
  3. Step 3: Cross multiply
    13,163.91x = 19,714.31 × 9,596.49
  4. Step 4: Simplify right side
    13,163.91x = 189,188,130.79
  5. Step 5: Solve for x
    x = 189,188,130.79/13,163.91
  6. Step 6: Final answer
    x = 14,371.73

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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.