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Finding the Fourth Proportional to 20,909.64, 31,372.62 and 9,214.62

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Solution

The fourth proportional to 20,909.64, 31,372.62 and 9,214.62 is: 13,825.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,909.64 : 31,372.62 = 9,214.62 : x
  2. Step 2: Convert to fraction form
    20,909.64/31,372.62 = 9,214.62/x
  3. Step 3: Cross multiply
    20,909.64x = 31,372.62 × 9,214.62
  4. Step 4: Simplify right side
    20,909.64x = 289,086,771.70
  5. Step 5: Solve for x
    x = 289,086,771.70/20,909.64
  6. Step 6: Final answer
    x = 13,825.53

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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.