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Finding the Fourth Proportional to 23,692.85, 32,696.02 and 13,082.49

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Solution

The fourth proportional to 23,692.85, 32,696.02 and 13,082.49 is: 18,053.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,692.85 : 32,696.02 = 13,082.49 : x
  2. Step 2: Convert to fraction form
    23,692.85/32,696.02 = 13,082.49/x
  3. Step 3: Cross multiply
    23,692.85x = 32,696.02 × 13,082.49
  4. Step 4: Simplify right side
    23,692.85x = 427,745,279.09
  5. Step 5: Solve for x
    x = 427,745,279.09/23,692.85
  6. Step 6: Final answer
    x = 18,053.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.