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Finding the Fourth Proportional to 25,692.36, 38,533.68 and 8,162.34

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Solution

The fourth proportional to 25,692.36, 38,533.68 and 8,162.34 is: 12,241.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,692.36 : 38,533.68 = 8,162.34 : x
  2. Step 2: Convert to fraction form
    25,692.36/38,533.68 = 8,162.34/x
  3. Step 3: Cross multiply
    25,692.36x = 38,533.68 × 8,162.34
  4. Step 4: Simplify right side
    25,692.36x = 314,524,997.61
  5. Step 5: Solve for x
    x = 314,524,997.61/25,692.36
  6. Step 6: Final answer
    x = 12,241.97

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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.