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Finding the Fourth Proportional to 17,323.47, 23,905.10 and 9,769.41

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Solution

The fourth proportional to 17,323.47, 23,905.10 and 9,769.41 is: 13,481.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,323.47 : 23,905.10 = 9,769.41 : x
  2. Step 2: Convert to fraction form
    17,323.47/23,905.10 = 9,769.41/x
  3. Step 3: Cross multiply
    17,323.47x = 23,905.10 × 9,769.41
  4. Step 4: Simplify right side
    17,323.47x = 233,538,747.41
  5. Step 5: Solve for x
    x = 233,538,747.41/17,323.47
  6. Step 6: Final answer
    x = 13,481.06

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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.