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Finding the Fourth Proportional to 13,986.40, 20,979.88 and 5,219.57

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Solution

The fourth proportional to 13,986.40, 20,979.88 and 5,219.57 is: 7,829.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,986.40 : 20,979.88 = 5,219.57 : x
  2. Step 2: Convert to fraction form
    13,986.40/20,979.88 = 5,219.57/x
  3. Step 3: Cross multiply
    13,986.40x = 20,979.88 × 5,219.57
  4. Step 4: Simplify right side
    13,986.40x = 109,505,847.35
  5. Step 5: Solve for x
    x = 109,505,847.35/13,986.40
  6. Step 6: Final answer
    x = 7,829.45

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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.