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Finding the Fourth Proportional to 17,083.60, 25,584.60 and 8,290.24

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Solution

The fourth proportional to 17,083.60, 25,584.60 and 8,290.24 is: 12,415.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,083.60 : 25,584.60 = 8,290.24 : x
  2. Step 2: Convert to fraction form
    17,083.60/25,584.60 = 8,290.24/x
  3. Step 3: Cross multiply
    17,083.60x = 25,584.60 × 8,290.24
  4. Step 4: Simplify right side
    17,083.60x = 212,102,474.30
  5. Step 5: Solve for x
    x = 212,102,474.30/17,083.60
  6. Step 6: Final answer
    x = 12,415.56

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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.