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Finding the Fourth Proportional to 12,196.55, 18,295.34 and 4,196.82

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Solution

The fourth proportional to 12,196.55, 18,295.34 and 4,196.82 is: 6,295.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,196.55 : 18,295.34 = 4,196.82 : x
  2. Step 2: Convert to fraction form
    12,196.55/18,295.34 = 4,196.82/x
  3. Step 3: Cross multiply
    12,196.55x = 18,295.34 × 4,196.82
  4. Step 4: Simplify right side
    12,196.55x = 76,782,227.83
  5. Step 5: Solve for x
    x = 76,782,227.83/12,196.55
  6. Step 6: Final answer
    x = 6,295.41

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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.