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Finding the Fourth Proportional to 27,692.01, 38,200.68 and 18,742.86

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Solution

The fourth proportional to 27,692.01, 38,200.68 and 18,742.86 is: 25,855.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,692.01 : 38,200.68 = 18,742.86 : x
  2. Step 2: Convert to fraction form
    27,692.01/38,200.68 = 18,742.86/x
  3. Step 3: Cross multiply
    27,692.01x = 38,200.68 × 18,742.86
  4. Step 4: Simplify right side
    27,692.01x = 715,989,997.14
  5. Step 5: Solve for x
    x = 715,989,997.14/27,692.01
  6. Step 6: Final answer
    x = 25,855.47

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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.