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Finding the Fourth Proportional to 11,756.99, 17,634.82 and 8,597.67

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Solution

The fourth proportional to 11,756.99, 17,634.82 and 8,597.67 is: 12,896.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,756.99 : 17,634.82 = 8,597.67 : x
  2. Step 2: Convert to fraction form
    11,756.99/17,634.82 = 8,597.67/x
  3. Step 3: Cross multiply
    11,756.99x = 17,634.82 × 8,597.67
  4. Step 4: Simplify right side
    11,756.99x = 151,618,362.87
  5. Step 5: Solve for x
    x = 151,618,362.87/11,756.99
  6. Step 6: Final answer
    x = 12,896.02

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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.