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Finding the Fourth Proportional to 17,171.75, 25,748.16 and 5,322.24

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Solution

The fourth proportional to 17,171.75, 25,748.16 and 5,322.24 is: 7,980.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,171.75 : 25,748.16 = 5,322.24 : x
  2. Step 2: Convert to fraction form
    17,171.75/25,748.16 = 5,322.24/x
  3. Step 3: Cross multiply
    17,171.75x = 25,748.16 × 5,322.24
  4. Step 4: Simplify right side
    17,171.75x = 137,037,731.73
  5. Step 5: Solve for x
    x = 137,037,731.73/17,171.75
  6. Step 6: Final answer
    x = 7,980.42

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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.