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Finding the Fourth Proportional to 20,302.40, 30,447.76 and 7,821.44

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Solution

The fourth proportional to 20,302.40, 30,447.76 and 7,821.44 is: 11,729.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,302.40 : 30,447.76 = 7,821.44 : x
  2. Step 2: Convert to fraction form
    20,302.40/30,447.76 = 7,821.44/x
  3. Step 3: Cross multiply
    20,302.40x = 30,447.76 × 7,821.44
  4. Step 4: Simplify right side
    20,302.40x = 238,145,327.97
  5. Step 5: Solve for x
    x = 238,145,327.97/20,302.40
  6. Step 6: Final answer
    x = 11,729.91

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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.