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Finding the Fourth Proportional to 13,912.83, 20,859.33 and 6,513.24

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Solution

The fourth proportional to 13,912.83, 20,859.33 and 6,513.24 is: 9,765.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,912.83 : 20,859.33 = 6,513.24 : x
  2. Step 2: Convert to fraction form
    13,912.83/20,859.33 = 6,513.24/x
  3. Step 3: Cross multiply
    13,912.83x = 20,859.33 × 6,513.24
  4. Step 4: Simplify right side
    13,912.83x = 135,861,822.53
  5. Step 5: Solve for x
    x = 135,861,822.53/13,912.83
  6. Step 6: Final answer
    x = 9,765.22

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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.