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Finding the Fourth Proportional to 14,546.44, 21,806.94 and 5,185

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Solution

The fourth proportional to 14,546.44, 21,806.94 and 5,185 is: 7,772.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,546.44 : 21,806.94 = 5,185 : x
  2. Step 2: Convert to fraction form
    14,546.44/21,806.94 = 5,185/x
  3. Step 3: Cross multiply
    14,546.44x = 21,806.94 × 5,185
  4. Step 4: Simplify right side
    14,546.44x = 113,068,983.90
  5. Step 5: Solve for x
    x = 113,068,983.90/14,546.44
  6. Step 6: Final answer
    x = 7,772.97

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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.