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Finding the Fourth Proportional to 13,198.86, 19,770.72 and 7,917.12

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Solution

The fourth proportional to 13,198.86, 19,770.72 and 7,917.12 is: 11,859.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,198.86 : 19,770.72 = 7,917.12 : x
  2. Step 2: Convert to fraction form
    13,198.86/19,770.72 = 7,917.12/x
  3. Step 3: Cross multiply
    13,198.86x = 19,770.72 × 7,917.12
  4. Step 4: Simplify right side
    13,198.86x = 156,527,162.73
  5. Step 5: Solve for x
    x = 156,527,162.73/13,198.86
  6. Step 6: Final answer
    x = 11,859.14

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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.