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Finding the Fourth Proportional to 12,447.96, 17,177.89 and 6,782.64

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Solution

The fourth proportional to 12,447.96, 17,177.89 and 6,782.64 is: 9,359.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,447.96 : 17,177.89 = 6,782.64 : x
  2. Step 2: Convert to fraction form
    12,447.96/17,177.89 = 6,782.64/x
  3. Step 3: Cross multiply
    12,447.96x = 17,177.89 × 6,782.64
  4. Step 4: Simplify right side
    12,447.96x = 116,511,443.83
  5. Step 5: Solve for x
    x = 116,511,443.83/12,447.96
  6. Step 6: Final answer
    x = 9,359.88

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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.