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Finding the Fourth Proportional to 14,223.82, 19,629.78 and 7,850.38

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Solution

The fourth proportional to 14,223.82, 19,629.78 and 7,850.38 is: 10,834.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,223.82 : 19,629.78 = 7,850.38 : x
  2. Step 2: Convert to fraction form
    14,223.82/19,629.78 = 7,850.38/x
  3. Step 3: Cross multiply
    14,223.82x = 19,629.78 × 7,850.38
  4. Step 4: Simplify right side
    14,223.82x = 154,101,232.32
  5. Step 5: Solve for x
    x = 154,101,232.32/14,223.82
  6. Step 6: Final answer
    x = 10,834.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.