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Finding the Fourth Proportional to 13,742.96, 18,964.38 and 7,692.20

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Solution

The fourth proportional to 13,742.96, 18,964.38 and 7,692.20 is: 10,614.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,742.96 : 18,964.38 = 7,692.20 : x
  2. Step 2: Convert to fraction form
    13,742.96/18,964.38 = 7,692.20/x
  3. Step 3: Cross multiply
    13,742.96x = 18,964.38 × 7,692.20
  4. Step 4: Simplify right side
    13,742.96x = 145,877,709.01
  5. Step 5: Solve for x
    x = 145,877,709.01/13,742.96
  6. Step 6: Final answer
    x = 10,614.73

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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.