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Finding the Fourth Proportional to 17,266.97, 25,897.73 and 6,171.59

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Solution

The fourth proportional to 17,266.97, 25,897.73 and 6,171.59 is: 9,256.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,266.97 : 25,897.73 = 6,171.59 : x
  2. Step 2: Convert to fraction form
    17,266.97/25,897.73 = 6,171.59/x
  3. Step 3: Cross multiply
    17,266.97x = 25,897.73 × 6,171.59
  4. Step 4: Simplify right side
    17,266.97x = 159,830,205.38
  5. Step 5: Solve for x
    x = 159,830,205.38/17,266.97
  6. Step 6: Final answer
    x = 9,256.41

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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.