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Finding the Fourth Proportional to 17,076.47, 23,563.44 and 9,523.22

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Solution

The fourth proportional to 17,076.47, 23,563.44 and 9,523.22 is: 13,140.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,076.47 : 23,563.44 = 9,523.22 : x
  2. Step 2: Convert to fraction form
    17,076.47/23,563.44 = 9,523.22/x
  3. Step 3: Cross multiply
    17,076.47x = 23,563.44 × 9,523.22
  4. Step 4: Simplify right side
    17,076.47x = 224,399,705.26
  5. Step 5: Solve for x
    x = 224,399,705.26/17,076.47
  6. Step 6: Final answer
    x = 13,140.88

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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.