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Finding the Fourth Proportional to 19,974.94, 27,560.49 and 12,211.80

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Solution

The fourth proportional to 19,974.94, 27,560.49 and 12,211.80 is: 16,849.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,974.94 : 27,560.49 = 12,211.80 : x
  2. Step 2: Convert to fraction form
    19,974.94/27,560.49 = 12,211.80/x
  3. Step 3: Cross multiply
    19,974.94x = 27,560.49 × 12,211.80
  4. Step 4: Simplify right side
    19,974.94x = 336,563,191.78
  5. Step 5: Solve for x
    x = 336,563,191.78/19,974.94
  6. Step 6: Final answer
    x = 16,849.27

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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.