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Finding the Fourth Proportional to 12,638.63, 17,441.84 and 7,049.63

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Solution

The fourth proportional to 12,638.63, 17,441.84 and 7,049.63 is: 9,728.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,638.63 : 17,441.84 = 7,049.63 : x
  2. Step 2: Convert to fraction form
    12,638.63/17,441.84 = 7,049.63/x
  3. Step 3: Cross multiply
    12,638.63x = 17,441.84 × 7,049.63
  4. Step 4: Simplify right side
    12,638.63x = 122,958,448.93
  5. Step 5: Solve for x
    x = 122,958,448.93/12,638.63
  6. Step 6: Final answer
    x = 9,728.78

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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.