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Finding the Fourth Proportional to 17,323.09, 23,906.12 and 9,769.78

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Solution

The fourth proportional to 17,323.09, 23,906.12 and 9,769.78 is: 13,482.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,323.09 : 23,906.12 = 9,769.78 : x
  2. Step 2: Convert to fraction form
    17,323.09/23,906.12 = 9,769.78/x
  3. Step 3: Cross multiply
    17,323.09x = 23,906.12 × 9,769.78
  4. Step 4: Simplify right side
    17,323.09x = 233,557,533.05
  5. Step 5: Solve for x
    x = 233,557,533.05/17,323.09
  6. Step 6: Final answer
    x = 13,482.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.