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Finding the Fourth Proportional to 19,827, 27,361.26 and 10,995

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Solution

The fourth proportional to 19,827, 27,361.26 and 10,995 is: 15,173.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,827 : 27,361.26 = 10,995 : x
  2. Step 2: Convert to fraction form
    19,827/27,361.26 = 10,995/x
  3. Step 3: Cross multiply
    19,827x = 27,361.26 × 10,995
  4. Step 4: Simplify right side
    19,827x = 300,837,053.70
  5. Step 5: Solve for x
    x = 300,837,053.70/19,827
  6. Step 6: Final answer
    x = 15,173.10

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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.