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Finding the Fourth Proportional to 20,066.38, 27,692.67 and 11,114.86

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Solution

The fourth proportional to 20,066.38, 27,692.67 and 11,114.86 is: 15,339.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,066.38 : 27,692.67 = 11,114.86 : x
  2. Step 2: Convert to fraction form
    20,066.38/27,692.67 = 11,114.86/x
  3. Step 3: Cross multiply
    20,066.38x = 27,692.67 × 11,114.86
  4. Step 4: Simplify right side
    20,066.38x = 307,800,150.08
  5. Step 5: Solve for x
    x = 307,800,150.08/20,066.38
  6. Step 6: Final answer
    x = 15,339.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.