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Finding the Fourth Proportional to 20,883.88, 31,327.26 and 8,404.00

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Solution

The fourth proportional to 20,883.88, 31,327.26 and 8,404.00 is: 12,606.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,883.88 : 31,327.26 = 8,404.00 : x
  2. Step 2: Convert to fraction form
    20,883.88/31,327.26 = 8,404.00/x
  3. Step 3: Cross multiply
    20,883.88x = 31,327.26 × 8,404.00
  4. Step 4: Simplify right side
    20,883.88x = 263,274,359.42
  5. Step 5: Solve for x
    x = 263,274,359.42/20,883.88
  6. Step 6: Final answer
    x = 12,606.59

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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.