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Finding the Fourth Proportional to 20,636.90, 30,933.26 and 9,530.66

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Solution

The fourth proportional to 20,636.90, 30,933.26 and 9,530.66 is: 14,285.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,636.90 : 30,933.26 = 9,530.66 : x
  2. Step 2: Convert to fraction form
    20,636.90/30,933.26 = 9,530.66/x
  3. Step 3: Cross multiply
    20,636.90x = 30,933.26 × 9,530.66
  4. Step 4: Simplify right side
    20,636.90x = 294,814,383.75
  5. Step 5: Solve for x
    x = 294,814,383.75/20,636.90
  6. Step 6: Final answer
    x = 14,285.79

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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.