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Finding the Fourth Proportional to 13,765.38, 18,996.48 and 7,797.03

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Solution

The fourth proportional to 13,765.38, 18,996.48 and 7,797.03 is: 10,760.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,765.38 : 18,996.48 = 7,797.03 : x
  2. Step 2: Convert to fraction form
    13,765.38/18,996.48 = 7,797.03/x
  3. Step 3: Cross multiply
    13,765.38x = 18,996.48 × 7,797.03
  4. Step 4: Simplify right side
    13,765.38x = 148,116,124.45
  5. Step 5: Solve for x
    x = 148,116,124.45/13,765.38
  6. Step 6: Final answer
    x = 10,760.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.