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Finding the Fourth Proportional to 18,723.97, 25,839.12 and 10,226.16

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Solution

The fourth proportional to 18,723.97, 25,839.12 and 10,226.16 is: 14,112.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,723.97 : 25,839.12 = 10,226.16 : x
  2. Step 2: Convert to fraction form
    18,723.97/25,839.12 = 10,226.16/x
  3. Step 3: Cross multiply
    18,723.97x = 25,839.12 × 10,226.16
  4. Step 4: Simplify right side
    18,723.97x = 264,234,975.38
  5. Step 5: Solve for x
    x = 264,234,975.38/18,723.97
  6. Step 6: Final answer
    x = 14,112.12

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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.