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Finding the Fourth Proportional to 12,364.34, 18,546.53 and 3,599.46

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Solution

The fourth proportional to 12,364.34, 18,546.53 and 3,599.46 is: 5,399.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,364.34 : 18,546.53 = 3,599.46 : x
  2. Step 2: Convert to fraction form
    12,364.34/18,546.53 = 3,599.46/x
  3. Step 3: Cross multiply
    12,364.34x = 18,546.53 × 3,599.46
  4. Step 4: Simplify right side
    12,364.34x = 66,757,474.88
  5. Step 5: Solve for x
    x = 66,757,474.88/12,364.34
  6. Step 6: Final answer
    x = 5,399.20

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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.