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Finding the Fourth Proportional to 20,134.85, 27,799.99 and 12,584.57

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Solution

The fourth proportional to 20,134.85, 27,799.99 and 12,584.57 is: 17,375.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,134.85 : 27,799.99 = 12,584.57 : x
  2. Step 2: Convert to fraction form
    20,134.85/27,799.99 = 12,584.57/x
  3. Step 3: Cross multiply
    20,134.85x = 27,799.99 × 12,584.57
  4. Step 4: Simplify right side
    20,134.85x = 349,850,920.15
  5. Step 5: Solve for x
    x = 349,850,920.15/20,134.85
  6. Step 6: Final answer
    x = 17,375.39

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.