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Finding the Fourth Proportional to 17,259.78, 23,817.96 and 9,706.44

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Solution

The fourth proportional to 17,259.78, 23,817.96 and 9,706.44 is: 13,394.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,259.78 : 23,817.96 = 9,706.44 : x
  2. Step 2: Convert to fraction form
    17,259.78/23,817.96 = 9,706.44/x
  3. Step 3: Cross multiply
    17,259.78x = 23,817.96 × 9,706.44
  4. Step 4: Simplify right side
    17,259.78x = 231,187,599.66
  5. Step 5: Solve for x
    x = 231,187,599.66/17,259.78
  6. Step 6: Final answer
    x = 13,394.59

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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.