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Finding the Fourth Proportional to 17,196.28, 25,759.86 and 8,971

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Solution

The fourth proportional to 17,196.28, 25,759.86 and 8,971 is: 13,438.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,196.28 : 25,759.86 = 8,971 : x
  2. Step 2: Convert to fraction form
    17,196.28/25,759.86 = 8,971/x
  3. Step 3: Cross multiply
    17,196.28x = 25,759.86 × 8,971
  4. Step 4: Simplify right side
    17,196.28x = 231,091,704.06
  5. Step 5: Solve for x
    x = 231,091,704.06/17,196.28
  6. Step 6: Final answer
    x = 13,438.47

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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.