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Finding the Fourth Proportional to 11,654.40, 17,462.16 and 8,185.44

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Solution

The fourth proportional to 11,654.40, 17,462.16 and 8,185.44 is: 12,264.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,654.40 : 17,462.16 = 8,185.44 : x
  2. Step 2: Convert to fraction form
    11,654.40/17,462.16 = 8,185.44/x
  3. Step 3: Cross multiply
    11,654.40x = 17,462.16 × 8,185.44
  4. Step 4: Simplify right side
    11,654.40x = 142,935,462.95
  5. Step 5: Solve for x
    x = 142,935,462.95/11,654.40
  6. Step 6: Final answer
    x = 12,264.51

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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.