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Finding the Fourth Proportional to 12,099.56, 18,152.99 and 3,780.45

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Solution

The fourth proportional to 12,099.56, 18,152.99 and 3,780.45 is: 5,671.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,099.56 : 18,152.99 = 3,780.45 : x
  2. Step 2: Convert to fraction form
    12,099.56/18,152.99 = 3,780.45/x
  3. Step 3: Cross multiply
    12,099.56x = 18,152.99 × 3,780.45
  4. Step 4: Simplify right side
    12,099.56x = 68,626,452.14
  5. Step 5: Solve for x
    x = 68,626,452.14/12,099.56
  6. Step 6: Final answer
    x = 5,671.82

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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.