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Finding the Fourth Proportional to 20,179, 27,849.45 and 11,795.50

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Solution

The fourth proportional to 20,179, 27,849.45 and 11,795.50 is: 16,279.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,179 : 27,849.45 = 11,795.50 : x
  2. Step 2: Convert to fraction form
    20,179/27,849.45 = 11,795.50/x
  3. Step 3: Cross multiply
    20,179x = 27,849.45 × 11,795.50
  4. Step 4: Simplify right side
    20,179x = 328,498,187.48
  5. Step 5: Solve for x
    x = 328,498,187.48/20,179
  6. Step 6: Final answer
    x = 16,279.21

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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.