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Finding the Fourth Proportional to 13,412.82, 20,082.33 and 6,806.72

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Solution

The fourth proportional to 13,412.82, 20,082.33 and 6,806.72 is: 10,191.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,412.82 : 20,082.33 = 6,806.72 : x
  2. Step 2: Convert to fraction form
    13,412.82/20,082.33 = 6,806.72/x
  3. Step 3: Cross multiply
    13,412.82x = 20,082.33 × 6,806.72
  4. Step 4: Simplify right side
    13,412.82x = 136,694,696.85
  5. Step 5: Solve for x
    x = 136,694,696.85/13,412.82
  6. Step 6: Final answer
    x = 10,191.35

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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.