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Finding the Fourth Proportional to 13,205.80, 18,227.46 and 7,906.60

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Solution

The fourth proportional to 13,205.80, 18,227.46 and 7,906.60 is: 10,913.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,205.80 : 18,227.46 = 7,906.60 : x
  2. Step 2: Convert to fraction form
    13,205.80/18,227.46 = 7,906.60/x
  3. Step 3: Cross multiply
    13,205.80x = 18,227.46 × 7,906.60
  4. Step 4: Simplify right side
    13,205.80x = 144,117,235.24
  5. Step 5: Solve for x
    x = 144,117,235.24/13,205.80
  6. Step 6: Final answer
    x = 10,913.18

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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.