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Finding the Fourth Proportional to 17,282.64, 23,850.92 and 9,728.60

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Solution

The fourth proportional to 17,282.64, 23,850.92 and 9,728.60 is: 13,425.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,282.64 : 23,850.92 = 9,728.60 : x
  2. Step 2: Convert to fraction form
    17,282.64/23,850.92 = 9,728.60/x
  3. Step 3: Cross multiply
    17,282.64x = 23,850.92 × 9,728.60
  4. Step 4: Simplify right side
    17,282.64x = 232,036,060.31
  5. Step 5: Solve for x
    x = 232,036,060.31/17,282.64
  6. Step 6: Final answer
    x = 13,425.96

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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.