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Finding the Fourth Proportional to 23,692.78, 32,695.40 and 13,082.18

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Solution

The fourth proportional to 23,692.78, 32,695.40 and 13,082.18 is: 18,053.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,692.78 : 32,695.40 = 13,082.18 : x
  2. Step 2: Convert to fraction form
    23,692.78/32,695.40 = 13,082.18/x
  3. Step 3: Cross multiply
    23,692.78x = 32,695.40 × 13,082.18
  4. Step 4: Simplify right side
    23,692.78x = 427,727,107.97
  5. Step 5: Solve for x
    x = 427,727,107.97/23,692.78
  6. Step 6: Final answer
    x = 18,053.06

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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.