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Finding the Fourth Proportional to 12,394.09, 17,092.11 and 8,137.64

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Solution

The fourth proportional to 12,394.09, 17,092.11 and 8,137.64 is: 11,222.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,394.09 : 17,092.11 = 8,137.64 : x
  2. Step 2: Convert to fraction form
    12,394.09/17,092.11 = 8,137.64/x
  3. Step 3: Cross multiply
    12,394.09x = 17,092.11 × 8,137.64
  4. Step 4: Simplify right side
    12,394.09x = 139,089,438.02
  5. Step 5: Solve for x
    x = 139,089,438.02/12,394.09
  6. Step 6: Final answer
    x = 11,222.24

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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.