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Finding the Fourth Proportional to 12,231.51, 18,334.36 and 5,662

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Solution

The fourth proportional to 12,231.51, 18,334.36 and 5,662 is: 8,487.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,231.51 : 18,334.36 = 5,662 : x
  2. Step 2: Convert to fraction form
    12,231.51/18,334.36 = 5,662/x
  3. Step 3: Cross multiply
    12,231.51x = 18,334.36 × 5,662
  4. Step 4: Simplify right side
    12,231.51x = 103,809,146.32
  5. Step 5: Solve for x
    x = 103,809,146.32/12,231.51
  6. Step 6: Final answer
    x = 8,487.03

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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.