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Finding the Fourth Proportional to 16,015, 24,016.38 and 7,692.64

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Solution

The fourth proportional to 16,015, 24,016.38 and 7,692.64 is: 11,536.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,015 : 24,016.38 = 7,692.64 : x
  2. Step 2: Convert to fraction form
    16,015/24,016.38 = 7,692.64/x
  3. Step 3: Cross multiply
    16,015x = 24,016.38 × 7,692.64
  4. Step 4: Simplify right side
    16,015x = 184,749,365.44
  5. Step 5: Solve for x
    x = 184,749,365.44/16,015
  6. Step 6: Final answer
    x = 11,536.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.