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Finding the Fourth Proportional to 12,400.94, 17,113.32 and 6,735.66

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Solution

The fourth proportional to 12,400.94, 17,113.32 and 6,735.66 is: 9,295.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,400.94 : 17,113.32 = 6,735.66 : x
  2. Step 2: Convert to fraction form
    12,400.94/17,113.32 = 6,735.66/x
  3. Step 3: Cross multiply
    12,400.94x = 17,113.32 × 6,735.66
  4. Step 4: Simplify right side
    12,400.94x = 115,269,504.99
  5. Step 5: Solve for x
    x = 115,269,504.99/12,400.94
  6. Step 6: Final answer
    x = 9,295.22

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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.