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Finding the Fourth Proportional to 13,979.75, 20,969.64 and 3,591.50

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Solution

The fourth proportional to 13,979.75, 20,969.64 and 3,591.50 is: 5,387.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,979.75 : 20,969.64 = 3,591.50 : x
  2. Step 2: Convert to fraction form
    13,979.75/20,969.64 = 3,591.50/x
  3. Step 3: Cross multiply
    13,979.75x = 20,969.64 × 3,591.50
  4. Step 4: Simplify right side
    13,979.75x = 75,312,462.06
  5. Step 5: Solve for x
    x = 75,312,462.06/13,979.75
  6. Step 6: Final answer
    x = 5,387.25

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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.