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Finding the Fourth Proportional to 17,300, 23,874 and 9,849.44

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Solution

The fourth proportional to 17,300, 23,874 and 9,849.44 is: 13,592.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,300 : 23,874 = 9,849.44 : x
  2. Step 2: Convert to fraction form
    17,300/23,874 = 9,849.44/x
  3. Step 3: Cross multiply
    17,300x = 23,874 × 9,849.44
  4. Step 4: Simplify right side
    17,300x = 235,145,530.56
  5. Step 5: Solve for x
    x = 235,145,530.56/17,300
  6. Step 6: Final answer
    x = 13,592.23

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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.