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Finding the Fourth Proportional to 12,863, 17,765.52 and 8,663.96

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Solution

The fourth proportional to 12,863, 17,765.52 and 8,663.96 is: 11,966.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,863 : 17,765.52 = 8,663.96 : x
  2. Step 2: Convert to fraction form
    12,863/17,765.52 = 8,663.96/x
  3. Step 3: Cross multiply
    12,863x = 17,765.52 × 8,663.96
  4. Step 4: Simplify right side
    12,863x = 153,919,754.66
  5. Step 5: Solve for x
    x = 153,919,754.66/12,863
  6. Step 6: Final answer
    x = 11,966.09

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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.