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Finding the Fourth Proportional to 12,154.50, 18,237.24 and 6,960.38

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Solution

The fourth proportional to 12,154.50, 18,237.24 and 6,960.38 is: 10,443.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,154.50 : 18,237.24 = 6,960.38 : x
  2. Step 2: Convert to fraction form
    12,154.50/18,237.24 = 6,960.38/x
  3. Step 3: Cross multiply
    12,154.50x = 18,237.24 × 6,960.38
  4. Step 4: Simplify right side
    12,154.50x = 126,938,029.37
  5. Step 5: Solve for x
    x = 126,938,029.37/12,154.50
  6. Step 6: Final answer
    x = 10,443.71

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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.