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Finding the Fourth Proportional to 17,057.23, 25,568.31 and 6,524.78

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Solution

The fourth proportional to 17,057.23, 25,568.31 and 6,524.78 is: 9,780.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,057.23 : 25,568.31 = 6,524.78 : x
  2. Step 2: Convert to fraction form
    17,057.23/25,568.31 = 6,524.78/x
  3. Step 3: Cross multiply
    17,057.23x = 25,568.31 × 6,524.78
  4. Step 4: Simplify right side
    17,057.23x = 166,827,529.56
  5. Step 5: Solve for x
    x = 166,827,529.56/17,057.23
  6. Step 6: Final answer
    x = 9,780.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.