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Finding the Fourth Proportional to 12,163.02, 18,212.88 and 10,419.20

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Solution

The fourth proportional to 12,163.02, 18,212.88 and 10,419.20 is: 15,601.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,163.02 : 18,212.88 = 10,419.20 : x
  2. Step 2: Convert to fraction form
    12,163.02/18,212.88 = 10,419.20/x
  3. Step 3: Cross multiply
    12,163.02x = 18,212.88 × 10,419.20
  4. Step 4: Simplify right side
    12,163.02x = 189,763,639.30
  5. Step 5: Solve for x
    x = 189,763,639.30/12,163.02
  6. Step 6: Final answer
    x = 15,601.69

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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.