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Finding the Fourth Proportional to 13,163.96, 19,754.28 and 9,599.42

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Solution

The fourth proportional to 13,163.96, 19,754.28 and 9,599.42 is: 14,405.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,163.96 : 19,754.28 = 9,599.42 : x
  2. Step 2: Convert to fraction form
    13,163.96/19,754.28 = 9,599.42/x
  3. Step 3: Cross multiply
    13,163.96x = 19,754.28 × 9,599.42
  4. Step 4: Simplify right side
    13,163.96x = 189,629,679.90
  5. Step 5: Solve for x
    x = 189,629,679.90/13,163.96
  6. Step 6: Final answer
    x = 14,405.21

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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.