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Finding the Fourth Proportional to 12,644.34, 17,450.37 and 7,267.50

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Solution

The fourth proportional to 12,644.34, 17,450.37 and 7,267.50 is: 10,029.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,644.34 : 17,450.37 = 7,267.50 : x
  2. Step 2: Convert to fraction form
    12,644.34/17,450.37 = 7,267.50/x
  3. Step 3: Cross multiply
    12,644.34x = 17,450.37 × 7,267.50
  4. Step 4: Simplify right side
    12,644.34x = 126,820,563.98
  5. Step 5: Solve for x
    x = 126,820,563.98/12,644.34
  6. Step 6: Final answer
    x = 10,029.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.