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Finding the Fourth Proportional to 12,633, 18,912.82 and 7,351.90

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Solution

The fourth proportional to 12,633, 18,912.82 and 7,351.90 is: 11,006.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,633 : 18,912.82 = 7,351.90 : x
  2. Step 2: Convert to fraction form
    12,633/18,912.82 = 7,351.90/x
  3. Step 3: Cross multiply
    12,633x = 18,912.82 × 7,351.90
  4. Step 4: Simplify right side
    12,633x = 139,045,161.36
  5. Step 5: Solve for x
    x = 139,045,161.36/12,633
  6. Step 6: Final answer
    x = 11,006.50

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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.