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Finding the Fourth Proportional to 16,801.56, 23,189.22 and 9,728.64

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Solution

The fourth proportional to 16,801.56, 23,189.22 and 9,728.64 is: 13,427.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,801.56 : 23,189.22 = 9,728.64 : x
  2. Step 2: Convert to fraction form
    16,801.56/23,189.22 = 9,728.64/x
  3. Step 3: Cross multiply
    16,801.56x = 23,189.22 × 9,728.64
  4. Step 4: Simplify right side
    16,801.56x = 225,599,573.26
  5. Step 5: Solve for x
    x = 225,599,573.26/16,801.56
  6. Step 6: Final answer
    x = 13,427.30

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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.