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Finding the Fourth Proportional to 12,099.85, 18,149.59 and 5,860.42

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Solution

The fourth proportional to 12,099.85, 18,149.59 and 5,860.42 is: 8,790.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,099.85 : 18,149.59 = 5,860.42 : x
  2. Step 2: Convert to fraction form
    12,099.85/18,149.59 = 5,860.42/x
  3. Step 3: Cross multiply
    12,099.85x = 18,149.59 × 5,860.42
  4. Step 4: Simplify right side
    12,099.85x = 106,364,220.23
  5. Step 5: Solve for x
    x = 106,364,220.23/12,099.85
  6. Step 6: Final answer
    x = 8,790.54

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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.