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Finding the Fourth Proportional to 13,399.21, 20,109.75 and 6,827.28

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Solution

The fourth proportional to 13,399.21, 20,109.75 and 6,827.28 is: 10,246.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,399.21 : 20,109.75 = 6,827.28 : x
  2. Step 2: Convert to fraction form
    13,399.21/20,109.75 = 6,827.28/x
  3. Step 3: Cross multiply
    13,399.21x = 20,109.75 × 6,827.28
  4. Step 4: Simplify right side
    13,399.21x = 137,294,893.98
  5. Step 5: Solve for x
    x = 137,294,893.98/13,399.21
  6. Step 6: Final answer
    x = 10,246.49

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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.