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Finding the Fourth Proportional to 20,272.25, 27,967.87 and 12,715.49

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Solution

The fourth proportional to 20,272.25, 27,967.87 and 12,715.49 is: 17,542.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,272.25 : 27,967.87 = 12,715.49 : x
  2. Step 2: Convert to fraction form
    20,272.25/27,967.87 = 12,715.49/x
  3. Step 3: Cross multiply
    20,272.25x = 27,967.87 × 12,715.49
  4. Step 4: Simplify right side
    20,272.25x = 355,625,171.31
  5. Step 5: Solve for x
    x = 355,625,171.31/20,272.25
  6. Step 6: Final answer
    x = 17,542.46

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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.