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Finding the Fourth Proportional to 11,654.78, 17,462.72 and 8,185.82

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Solution

The fourth proportional to 11,654.78, 17,462.72 and 8,185.82 is: 12,265.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,654.78 : 17,462.72 = 8,185.82 : x
  2. Step 2: Convert to fraction form
    11,654.78/17,462.72 = 8,185.82/x
  3. Step 3: Cross multiply
    11,654.78x = 17,462.72 × 8,185.82
  4. Step 4: Simplify right side
    11,654.78x = 142,946,615.78
  5. Step 5: Solve for x
    x = 142,946,615.78/11,654.78
  6. Step 6: Final answer
    x = 12,265.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.