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Finding the Fourth Proportional to 12,314.49, 18,467.81 and 3,992.55

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Solution

The fourth proportional to 12,314.49, 18,467.81 and 3,992.55 is: 5,987.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,314.49 : 18,467.81 = 3,992.55 : x
  2. Step 2: Convert to fraction form
    12,314.49/18,467.81 = 3,992.55/x
  3. Step 3: Cross multiply
    12,314.49x = 18,467.81 × 3,992.55
  4. Step 4: Simplify right side
    12,314.49x = 73,733,654.82
  5. Step 5: Solve for x
    x = 73,733,654.82/12,314.49
  6. Step 6: Final answer
    x = 5,987.55

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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.