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Finding the Fourth Proportional to 17,077, 23,566.26 and 9,625

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Solution

The fourth proportional to 17,077, 23,566.26 and 9,625 is: 13,282.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,077 : 23,566.26 = 9,625 : x
  2. Step 2: Convert to fraction form
    17,077/23,566.26 = 9,625/x
  3. Step 3: Cross multiply
    17,077x = 23,566.26 × 9,625
  4. Step 4: Simplify right side
    17,077x = 226,825,252.50
  5. Step 5: Solve for x
    x = 226,825,252.50/17,077
  6. Step 6: Final answer
    x = 13,282.50

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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.