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Finding the Fourth Proportional to 17,109.44, 23,611.04 and 9,657.44

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Solution

The fourth proportional to 17,109.44, 23,611.04 and 9,657.44 is: 13,327.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,109.44 : 23,611.04 = 9,657.44 : x
  2. Step 2: Convert to fraction form
    17,109.44/23,611.04 = 9,657.44/x
  3. Step 3: Cross multiply
    17,109.44x = 23,611.04 × 9,657.44
  4. Step 4: Simplify right side
    17,109.44x = 228,022,202.14
  5. Step 5: Solve for x
    x = 228,022,202.14/17,109.44
  6. Step 6: Final answer
    x = 13,327.27

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1.5x scale

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.