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Finding the Fourth Proportional to 12,163.05, 18,211.62 and 6,307.38

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Solution

The fourth proportional to 12,163.05, 18,211.62 and 6,307.38 is: 9,443.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,163.05 : 18,211.62 = 6,307.38 : x
  2. Step 2: Convert to fraction form
    12,163.05/18,211.62 = 6,307.38/x
  3. Step 3: Cross multiply
    12,163.05x = 18,211.62 × 6,307.38
  4. Step 4: Simplify right side
    12,163.05x = 114,867,607.76
  5. Step 5: Solve for x
    x = 114,867,607.76/12,163.05
  6. Step 6: Final answer
    x = 9,443.98

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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.