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Finding the Fourth Proportional to 20,269.90, 27,974.82 and 12,309.94

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Solution

The fourth proportional to 20,269.90, 27,974.82 and 12,309.94 is: 16,989.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,269.90 : 27,974.82 = 12,309.94 : x
  2. Step 2: Convert to fraction form
    20,269.90/27,974.82 = 12,309.94/x
  3. Step 3: Cross multiply
    20,269.90x = 27,974.82 × 12,309.94
  4. Step 4: Simplify right side
    20,269.90x = 344,368,355.71
  5. Step 5: Solve for x
    x = 344,368,355.71/20,269.90
  6. Step 6: Final answer
    x = 16,989.15

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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.