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Finding the Fourth Proportional to 18,462.32, 27,692.56 and 6,774.63

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Solution

The fourth proportional to 18,462.32, 27,692.56 and 6,774.63 is: 10,161.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,462.32 : 27,692.56 = 6,774.63 : x
  2. Step 2: Convert to fraction form
    18,462.32/27,692.56 = 6,774.63/x
  3. Step 3: Cross multiply
    18,462.32x = 27,692.56 × 6,774.63
  4. Step 4: Simplify right side
    18,462.32x = 187,606,847.75
  5. Step 5: Solve for x
    x = 187,606,847.75/18,462.32
  6. Step 6: Final answer
    x = 10,161.61

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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.