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Finding the Fourth Proportional to 13,976.75, 20,969.18 and 4,742.75

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Solution

The fourth proportional to 13,976.75, 20,969.18 and 4,742.75 is: 7,115.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,976.75 : 20,969.18 = 4,742.75 : x
  2. Step 2: Convert to fraction form
    13,976.75/20,969.18 = 4,742.75/x
  3. Step 3: Cross multiply
    13,976.75x = 20,969.18 × 4,742.75
  4. Step 4: Simplify right side
    13,976.75x = 99,451,578.45
  5. Step 5: Solve for x
    x = 99,451,578.45/13,976.75
  6. Step 6: Final answer
    x = 7,115.50

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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.