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Finding the Fourth Proportional to 17,277, 23,842.26 and 9,825

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Solution

The fourth proportional to 17,277, 23,842.26 and 9,825 is: 13,558.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,277 : 23,842.26 = 9,825 : x
  2. Step 2: Convert to fraction form
    17,277/23,842.26 = 9,825/x
  3. Step 3: Cross multiply
    17,277x = 23,842.26 × 9,825
  4. Step 4: Simplify right side
    17,277x = 234,250,204.50
  5. Step 5: Solve for x
    x = 234,250,204.50/17,277
  6. Step 6: Final answer
    x = 13,558.50

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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.