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Finding the Fourth Proportional to 20,270.88, 27,962.15 and 12,198.92

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Solution

The fourth proportional to 20,270.88, 27,962.15 and 12,198.92 is: 16,827.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,270.88 : 27,962.15 = 12,198.92 : x
  2. Step 2: Convert to fraction form
    20,270.88/27,962.15 = 12,198.92/x
  3. Step 3: Cross multiply
    20,270.88x = 27,962.15 × 12,198.92
  4. Step 4: Simplify right side
    20,270.88x = 341,107,830.07
  5. Step 5: Solve for x
    x = 341,107,830.07/20,270.88
  6. Step 6: Final answer
    x = 16,827.48

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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.