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Finding the Fourth Proportional to 13,976.34, 20,971.80 and 13,169.58

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Solution

The fourth proportional to 13,976.34, 20,971.80 and 13,169.58 is: 19,761.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,976.34 : 20,971.80 = 13,169.58 : x
  2. Step 2: Convert to fraction form
    13,976.34/20,971.80 = 13,169.58/x
  3. Step 3: Cross multiply
    13,976.34x = 20,971.80 × 13,169.58
  4. Step 4: Simplify right side
    13,976.34x = 276,189,797.84
  5. Step 5: Solve for x
    x = 276,189,797.84/13,976.34
  6. Step 6: Final answer
    x = 19,761.24

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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.