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Finding the Fourth Proportional to 20,109.32, 30,163.96 and 13,777.96

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Solution

The fourth proportional to 20,109.32, 30,163.96 and 13,777.96 is: 20,666.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,109.32 : 30,163.96 = 13,777.96 : x
  2. Step 2: Convert to fraction form
    20,109.32/30,163.96 = 13,777.96/x
  3. Step 3: Cross multiply
    20,109.32x = 30,163.96 × 13,777.96
  4. Step 4: Simplify right side
    20,109.32x = 415,597,834.32
  5. Step 5: Solve for x
    x = 415,597,834.32/20,109.32
  6. Step 6: Final answer
    x = 20,666.93

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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.