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Finding the Fourth Proportional to 12,714.75, 17,546.49 and 7,049.61

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Solution

The fourth proportional to 12,714.75, 17,546.49 and 7,049.61 is: 9,728.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,714.75 : 17,546.49 = 7,049.61 : x
  2. Step 2: Convert to fraction form
    12,714.75/17,546.49 = 7,049.61/x
  3. Step 3: Cross multiply
    12,714.75x = 17,546.49 × 7,049.61
  4. Step 4: Simplify right side
    12,714.75x = 123,695,911.37
  5. Step 5: Solve for x
    x = 123,695,911.37/12,714.75
  6. Step 6: Final answer
    x = 9,728.54

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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.