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Finding the Fourth Proportional to 17,235.41, 23,782.97 and 9,680.00

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Solution

The fourth proportional to 17,235.41, 23,782.97 and 9,680.00 is: 13,357.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,235.41 : 23,782.97 = 9,680.00 : x
  2. Step 2: Convert to fraction form
    17,235.41/23,782.97 = 9,680.00/x
  3. Step 3: Cross multiply
    17,235.41x = 23,782.97 × 9,680.00
  4. Step 4: Simplify right side
    17,235.41x = 230,218,982.29
  5. Step 5: Solve for x
    x = 230,218,982.29/17,235.41
  6. Step 6: Final answer
    x = 13,357.33

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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.