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Finding the Fourth Proportional to 13,845.40, 20,765.04 and 3,982.48

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Solution

The fourth proportional to 13,845.40, 20,765.04 and 3,982.48 is: 5,972.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,845.40 : 20,765.04 = 3,982.48 : x
  2. Step 2: Convert to fraction form
    13,845.40/20,765.04 = 3,982.48/x
  3. Step 3: Cross multiply
    13,845.40x = 20,765.04 × 3,982.48
  4. Step 4: Simplify right side
    13,845.40x = 82,696,356.50
  5. Step 5: Solve for x
    x = 82,696,356.50/13,845.40
  6. Step 6: Final answer
    x = 5,972.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.