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Finding the Fourth Proportional to 12,714.78, 17,546.48 and 7,049.62

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Solution

The fourth proportional to 12,714.78, 17,546.48 and 7,049.62 is: 9,728.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,714.78 : 17,546.48 = 7,049.62 : x
  2. Step 2: Convert to fraction form
    12,714.78/17,546.48 = 7,049.62/x
  3. Step 3: Cross multiply
    12,714.78x = 17,546.48 × 7,049.62
  4. Step 4: Simplify right side
    12,714.78x = 123,696,029.46
  5. Step 5: Solve for x
    x = 123,696,029.46/12,714.78
  6. Step 6: Final answer
    x = 9,728.52

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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.