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Finding the Fourth Proportional to 17,062.80, 23,546.75 and 9,896.96

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Solution

The fourth proportional to 17,062.80, 23,546.75 and 9,896.96 is: 13,657.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,062.80 : 23,546.75 = 9,896.96 : x
  2. Step 2: Convert to fraction form
    17,062.80/23,546.75 = 9,896.96/x
  3. Step 3: Cross multiply
    17,062.80x = 23,546.75 × 9,896.96
  4. Step 4: Simplify right side
    17,062.80x = 233,041,149.89
  5. Step 5: Solve for x
    x = 233,041,149.89/17,062.80
  6. Step 6: Final answer
    x = 13,657.85

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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.