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Finding the Fourth Proportional to 13,765.68, 18,996.03 and 7,797.23

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Solution

The fourth proportional to 13,765.68, 18,996.03 and 7,797.23 is: 10,759.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,765.68 : 18,996.03 = 7,797.23 : x
  2. Step 2: Convert to fraction form
    13,765.68/18,996.03 = 7,797.23/x
  3. Step 3: Cross multiply
    13,765.68x = 18,996.03 × 7,797.23
  4. Step 4: Simplify right side
    13,765.68x = 148,116,391.25
  5. Step 5: Solve for x
    x = 148,116,391.25/13,765.68
  6. Step 6: Final answer
    x = 10,759.83

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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.