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Finding the Fourth Proportional to 12,185.75, 18,278.72 and 2,951.75

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Solution

The fourth proportional to 12,185.75, 18,278.72 and 2,951.75 is: 4,427.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,185.75 : 18,278.72 = 2,951.75 : x
  2. Step 2: Convert to fraction form
    12,185.75/18,278.72 = 2,951.75/x
  3. Step 3: Cross multiply
    12,185.75x = 18,278.72 × 2,951.75
  4. Step 4: Simplify right side
    12,185.75x = 53,954,211.76
  5. Step 5: Solve for x
    x = 53,954,211.76/12,185.75
  6. Step 6: Final answer
    x = 4,427.65

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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.