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Finding the Fourth Proportional to 12,163.50, 18,250.74 and 6,969.38

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Solution

The fourth proportional to 12,163.50, 18,250.74 and 6,969.38 is: 10,457.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,163.50 : 18,250.74 = 6,969.38 : x
  2. Step 2: Convert to fraction form
    12,163.50/18,250.74 = 6,969.38/x
  3. Step 3: Cross multiply
    12,163.50x = 18,250.74 × 6,969.38
  4. Step 4: Simplify right side
    12,163.50x = 127,196,251.09
  5. Step 5: Solve for x
    x = 127,196,251.09/12,163.50
  6. Step 6: Final answer
    x = 10,457.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.