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Finding the Fourth Proportional to 19,729.35, 29,609.19 and 8,052.39

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Solution

The fourth proportional to 19,729.35, 29,609.19 and 8,052.39 is: 12,084.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,729.35 : 29,609.19 = 8,052.39 : x
  2. Step 2: Convert to fraction form
    19,729.35/29,609.19 = 8,052.39/x
  3. Step 3: Cross multiply
    19,729.35x = 29,609.19 × 8,052.39
  4. Step 4: Simplify right side
    19,729.35x = 238,424,745.46
  5. Step 5: Solve for x
    x = 238,424,745.46/19,729.35
  6. Step 6: Final answer
    x = 12,084.77

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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.