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Finding the Fourth Proportional to 12,197.85, 16,832.16 and 7,162.28

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Solution

The fourth proportional to 12,197.85, 16,832.16 and 7,162.28 is: 9,883.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,197.85 : 16,832.16 = 7,162.28 : x
  2. Step 2: Convert to fraction form
    12,197.85/16,832.16 = 7,162.28/x
  3. Step 3: Cross multiply
    12,197.85x = 16,832.16 × 7,162.28
  4. Step 4: Simplify right side
    12,197.85x = 120,556,558.76
  5. Step 5: Solve for x
    x = 120,556,558.76/12,197.85
  6. Step 6: Final answer
    x = 9,883.43

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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.