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Finding the Fourth Proportional to 17,872.43, 24,662.84 and 9,914.49

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Solution

The fourth proportional to 17,872.43, 24,662.84 and 9,914.49 is: 13,681.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,872.43 : 24,662.84 = 9,914.49 : x
  2. Step 2: Convert to fraction form
    17,872.43/24,662.84 = 9,914.49/x
  3. Step 3: Cross multiply
    17,872.43x = 24,662.84 × 9,914.49
  4. Step 4: Simplify right side
    17,872.43x = 244,519,430.98
  5. Step 5: Solve for x
    x = 244,519,430.98/17,872.43
  6. Step 6: Final answer
    x = 13,681.38

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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.