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Finding the Fourth Proportional to 12,744.98, 19,103.12 and 6,487.43

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Solution

The fourth proportional to 12,744.98, 19,103.12 and 6,487.43 is: 9,723.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,744.98 : 19,103.12 = 6,487.43 : x
  2. Step 2: Convert to fraction form
    12,744.98/19,103.12 = 6,487.43/x
  3. Step 3: Cross multiply
    12,744.98x = 19,103.12 × 6,487.43
  4. Step 4: Simplify right side
    12,744.98x = 123,930,153.78
  5. Step 5: Solve for x
    x = 123,930,153.78/12,744.98
  6. Step 6: Final answer
    x = 9,723.84

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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.