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Finding the Fourth Proportional to 13,192.86, 18,205.31 and 7,224.60

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Solution

The fourth proportional to 13,192.86, 18,205.31 and 7,224.60 is: 9,969.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,192.86 : 18,205.31 = 7,224.60 : x
  2. Step 2: Convert to fraction form
    13,192.86/18,205.31 = 7,224.60/x
  3. Step 3: Cross multiply
    13,192.86x = 18,205.31 × 7,224.60
  4. Step 4: Simplify right side
    13,192.86x = 131,526,100.69
  5. Step 5: Solve for x
    x = 131,526,100.69/13,192.86
  6. Step 6: Final answer
    x = 9,969.49

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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.