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Finding the Fourth Proportional to 14,224.29, 19,629.39 and 7,850.94

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Solution

The fourth proportional to 14,224.29, 19,629.39 and 7,850.94 is: 10,834.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,224.29 : 19,629.39 = 7,850.94 : x
  2. Step 2: Convert to fraction form
    14,224.29/19,629.39 = 7,850.94/x
  3. Step 3: Cross multiply
    14,224.29x = 19,629.39 × 7,850.94
  4. Step 4: Simplify right side
    14,224.29x = 154,109,163.13
  5. Step 5: Solve for x
    x = 154,109,163.13/14,224.29
  6. Step 6: Final answer
    x = 10,834.23

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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.