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Finding the Fourth Proportional to 13,976.40, 20,968.14 and 4,116

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Solution

The fourth proportional to 13,976.40, 20,968.14 and 4,116 is: 6,175.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,976.40 : 20,968.14 = 4,116 : x
  2. Step 2: Convert to fraction form
    13,976.40/20,968.14 = 4,116/x
  3. Step 3: Cross multiply
    13,976.40x = 20,968.14 × 4,116
  4. Step 4: Simplify right side
    13,976.40x = 86,304,864.24
  5. Step 5: Solve for x
    x = 86,304,864.24/13,976.40
  6. Step 6: Final answer
    x = 6,175.04

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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.