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Finding the Fourth Proportional to 23,801.64, 32,850.32 and 13,728.27

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Solution

The fourth proportional to 23,801.64, 32,850.32 and 13,728.27 is: 18,947.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,801.64 : 32,850.32 = 13,728.27 : x
  2. Step 2: Convert to fraction form
    23,801.64/32,850.32 = 13,728.27/x
  3. Step 3: Cross multiply
    23,801.64x = 32,850.32 × 13,728.27
  4. Step 4: Simplify right side
    23,801.64x = 450,978,062.55
  5. Step 5: Solve for x
    x = 450,978,062.55/23,801.64
  6. Step 6: Final answer
    x = 18,947.35

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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.