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Finding the Fourth Proportional to 19,814.75, 29,722.56 and 7,969.71

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Solution

The fourth proportional to 19,814.75, 29,722.56 and 7,969.71 is: 11,954.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,814.75 : 29,722.56 = 7,969.71 : x
  2. Step 2: Convert to fraction form
    19,814.75/29,722.56 = 7,969.71/x
  3. Step 3: Cross multiply
    19,814.75x = 29,722.56 × 7,969.71
  4. Step 4: Simplify right side
    19,814.75x = 236,880,183.66
  5. Step 5: Solve for x
    x = 236,880,183.66/19,814.75
  6. Step 6: Final answer
    x = 11,954.74

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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.