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Finding the Fourth Proportional to 13,843.71, 20,765.61 and 3,980.70

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Solution

The fourth proportional to 13,843.71, 20,765.61 and 3,980.70 is: 5,971.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,843.71 : 20,765.61 = 3,980.70 : x
  2. Step 2: Convert to fraction form
    13,843.71/20,765.61 = 3,980.70/x
  3. Step 3: Cross multiply
    13,843.71x = 20,765.61 × 3,980.70
  4. Step 4: Simplify right side
    13,843.71x = 82,661,663.73
  5. Step 5: Solve for x
    x = 82,661,663.73/13,843.71
  6. Step 6: Final answer
    x = 5,971.06

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