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Finding the Fourth Proportional to 18,453.98, 27,685.36 and 5,974

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Solution

The fourth proportional to 18,453.98, 27,685.36 and 5,974 is: 8,962.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,453.98 : 27,685.36 = 5,974 : x
  2. Step 2: Convert to fraction form
    18,453.98/27,685.36 = 5,974/x
  3. Step 3: Cross multiply
    18,453.98x = 27,685.36 × 5,974
  4. Step 4: Simplify right side
    18,453.98x = 165,392,340.64
  5. Step 5: Solve for x
    x = 165,392,340.64/18,453.98
  6. Step 6: Final answer
    x = 8,962.42

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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.