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Finding the Fourth Proportional to 12,081.30, 18,097.65 and 8,144.70

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Solution

The fourth proportional to 12,081.30, 18,097.65 and 8,144.70 is: 12,200.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,081.30 : 18,097.65 = 8,144.70 : x
  2. Step 2: Convert to fraction form
    12,081.30/18,097.65 = 8,144.70/x
  3. Step 3: Cross multiply
    12,081.30x = 18,097.65 × 8,144.70
  4. Step 4: Simplify right side
    12,081.30x = 147,399,929.96
  5. Step 5: Solve for x
    x = 147,399,929.96/12,081.30
  6. Step 6: Final answer
    x = 12,200.67

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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.