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Finding the Fourth Proportional to 12,657.26, 17,474.47 and 8,684.21

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Solution

The fourth proportional to 12,657.26, 17,474.47 and 8,684.21 is: 11,989.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,657.26 : 17,474.47 = 8,684.21 : x
  2. Step 2: Convert to fraction form
    12,657.26/17,474.47 = 8,684.21/x
  3. Step 3: Cross multiply
    12,657.26x = 17,474.47 × 8,684.21
  4. Step 4: Simplify right side
    12,657.26x = 151,751,989.09
  5. Step 5: Solve for x
    x = 151,751,989.09/12,657.26
  6. Step 6: Final answer
    x = 11,989.32

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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.