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Finding the Fourth Proportional to 14,057.96, 19,399.38 and 7,684.43

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Solution

The fourth proportional to 14,057.96, 19,399.38 and 7,684.43 is: 10,604.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,057.96 : 19,399.38 = 7,684.43 : x
  2. Step 2: Convert to fraction form
    14,057.96/19,399.38 = 7,684.43/x
  3. Step 3: Cross multiply
    14,057.96x = 19,399.38 × 7,684.43
  4. Step 4: Simplify right side
    14,057.96x = 149,073,177.65
  5. Step 5: Solve for x
    x = 149,073,177.65/14,057.96
  6. Step 6: Final answer
    x = 10,604.19

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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.