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Finding the Fourth Proportional to 17,109, 23,610.42 and 9,657

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Solution

The fourth proportional to 17,109, 23,610.42 and 9,657 is: 13,326.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,109 : 23,610.42 = 9,657 : x
  2. Step 2: Convert to fraction form
    17,109/23,610.42 = 9,657/x
  3. Step 3: Cross multiply
    17,109x = 23,610.42 × 9,657
  4. Step 4: Simplify right side
    17,109x = 228,005,825.94
  5. Step 5: Solve for x
    x = 228,005,825.94/17,109
  6. Step 6: Final answer
    x = 13,326.66

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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.