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Finding the Fourth Proportional to 12,197.55, 16,846.48 and 8,211.75

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Solution

The fourth proportional to 12,197.55, 16,846.48 and 8,211.75 is: 11,341.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,197.55 : 16,846.48 = 8,211.75 : x
  2. Step 2: Convert to fraction form
    12,197.55/16,846.48 = 8,211.75/x
  3. Step 3: Cross multiply
    12,197.55x = 16,846.48 × 8,211.75
  4. Step 4: Simplify right side
    12,197.55x = 138,339,029.23
  5. Step 5: Solve for x
    x = 138,339,029.23/12,197.55
  6. Step 6: Final answer
    x = 11,341.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.