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Finding the Fourth Proportional to 12,377.67, 18,571.37 and 5,447.31

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Solution

The fourth proportional to 12,377.67, 18,571.37 and 5,447.31 is: 8,173.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,377.67 : 18,571.37 = 5,447.31 : x
  2. Step 2: Convert to fraction form
    12,377.67/18,571.37 = 5,447.31/x
  3. Step 3: Cross multiply
    12,377.67x = 18,571.37 × 5,447.31
  4. Step 4: Simplify right side
    12,377.67x = 101,164,009.51
  5. Step 5: Solve for x
    x = 101,164,009.51/12,377.67
  6. Step 6: Final answer
    x = 8,173.11

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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.