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Finding the Fourth Proportional to 12,364.31, 18,546.50 and 3,599.44

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Solution

The fourth proportional to 12,364.31, 18,546.50 and 3,599.44 is: 5,399.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,364.31 : 18,546.50 = 3,599.44 : x
  2. Step 2: Convert to fraction form
    12,364.31/18,546.50 = 3,599.44/x
  3. Step 3: Cross multiply
    12,364.31x = 18,546.50 × 3,599.44
  4. Step 4: Simplify right side
    12,364.31x = 66,756,976.59
  5. Step 5: Solve for x
    x = 66,756,976.59/12,364.31
  6. Step 6: Final answer
    x = 5,399.17

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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.