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Finding the Fourth Proportional to 19,744.26, 29,617.94 and 6,596.67

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Solution

The fourth proportional to 19,744.26, 29,617.94 and 6,596.67 is: 9,895.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,744.26 : 29,617.94 = 6,596.67 : x
  2. Step 2: Convert to fraction form
    19,744.26/29,617.94 = 6,596.67/x
  3. Step 3: Cross multiply
    19,744.26x = 29,617.94 × 6,596.67
  4. Step 4: Simplify right side
    19,744.26x = 195,379,903.82
  5. Step 5: Solve for x
    x = 195,379,903.82/19,744.26
  6. Step 6: Final answer
    x = 9,895.53

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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.