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Finding the Fourth Proportional to 19,759.25, 29,638.88 and 8,072.47

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Solution

The fourth proportional to 19,759.25, 29,638.88 and 8,072.47 is: 12,108.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,759.25 : 29,638.88 = 8,072.47 : x
  2. Step 2: Convert to fraction form
    19,759.25/29,638.88 = 8,072.47/x
  3. Step 3: Cross multiply
    19,759.25x = 29,638.88 × 8,072.47
  4. Step 4: Simplify right side
    19,759.25x = 239,258,996.59
  5. Step 5: Solve for x
    x = 239,258,996.59/19,759.25
  6. Step 6: Final answer
    x = 12,108.71

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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.