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Finding the Fourth Proportional to 13,192.71, 18,205.87 and 7,224.27

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Solution

The fourth proportional to 13,192.71, 18,205.87 and 7,224.27 is: 9,969.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,192.71 : 18,205.87 = 7,224.27 : x
  2. Step 2: Convert to fraction form
    13,192.71/18,205.87 = 7,224.27/x
  3. Step 3: Cross multiply
    13,192.71x = 18,205.87 × 7,224.27
  4. Step 4: Simplify right side
    13,192.71x = 131,524,120.46
  5. Step 5: Solve for x
    x = 131,524,120.46/13,192.71
  6. Step 6: Final answer
    x = 9,969.45

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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.