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Finding the Fourth Proportional to 13,394.81, 20,080.87 and 8,189.75

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Solution

The fourth proportional to 13,394.81, 20,080.87 and 8,189.75 is: 12,277.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,394.81 : 20,080.87 = 8,189.75 : x
  2. Step 2: Convert to fraction form
    13,394.81/20,080.87 = 8,189.75/x
  3. Step 3: Cross multiply
    13,394.81x = 20,080.87 × 8,189.75
  4. Step 4: Simplify right side
    13,394.81x = 164,457,305.08
  5. Step 5: Solve for x
    x = 164,457,305.08/13,394.81
  6. Step 6: Final answer
    x = 12,277.69

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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.