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Finding the Fourth Proportional to 12,197.57, 16,832.64 and 6,608.57

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Solution

The fourth proportional to 12,197.57, 16,832.64 and 6,608.57 is: 9,119.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,197.57 : 16,832.64 = 6,608.57 : x
  2. Step 2: Convert to fraction form
    12,197.57/16,832.64 = 6,608.57/x
  3. Step 3: Cross multiply
    12,197.57x = 16,832.64 × 6,608.57
  4. Step 4: Simplify right side
    12,197.57x = 111,239,595.56
  5. Step 5: Solve for x
    x = 111,239,595.56/12,197.57
  6. Step 6: Final answer
    x = 9,119.82

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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.