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Finding the Fourth Proportional to 14,162.12, 19,546.14 and 8,197.42

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Solution

The fourth proportional to 14,162.12, 19,546.14 and 8,197.42 is: 11,313.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,162.12 : 19,546.14 = 8,197.42 : x
  2. Step 2: Convert to fraction form
    14,162.12/19,546.14 = 8,197.42/x
  3. Step 3: Cross multiply
    14,162.12x = 19,546.14 × 8,197.42
  4. Step 4: Simplify right side
    14,162.12x = 160,227,918.96
  5. Step 5: Solve for x
    x = 160,227,918.96/14,162.12
  6. Step 6: Final answer
    x = 11,313.84

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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.