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Finding the Fourth Proportional to 20,704.33, 31,060.29 and 9,609.49

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Solution

The fourth proportional to 20,704.33, 31,060.29 and 9,609.49 is: 14,416.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,704.33 : 31,060.29 = 9,609.49 : x
  2. Step 2: Convert to fraction form
    20,704.33/31,060.29 = 9,609.49/x
  3. Step 3: Cross multiply
    20,704.33x = 31,060.29 × 9,609.49
  4. Step 4: Simplify right side
    20,704.33x = 298,473,546.15
  5. Step 5: Solve for x
    x = 298,473,546.15/20,704.33
  6. Step 6: Final answer
    x = 14,416.00

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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.