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Finding the Fourth Proportional to 12,796.41, 17,654.04 and 8,014.38

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Solution

The fourth proportional to 12,796.41, 17,654.04 and 8,014.38 is: 11,056.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,796.41 : 17,654.04 = 8,014.38 : x
  2. Step 2: Convert to fraction form
    12,796.41/17,654.04 = 8,014.38/x
  3. Step 3: Cross multiply
    12,796.41x = 17,654.04 × 8,014.38
  4. Step 4: Simplify right side
    12,796.41x = 141,486,185.10
  5. Step 5: Solve for x
    x = 141,486,185.10/12,796.41
  6. Step 6: Final answer
    x = 11,056.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.