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Finding the Fourth Proportional to 20,123, 27,769.78 and 11,740.04

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Solution

The fourth proportional to 20,123, 27,769.78 and 11,740.04 is: 16,201.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,123 : 27,769.78 = 11,740.04 : x
  2. Step 2: Convert to fraction form
    20,123/27,769.78 = 11,740.04/x
  3. Step 3: Cross multiply
    20,123x = 27,769.78 × 11,740.04
  4. Step 4: Simplify right side
    20,123x = 326,018,327.99
  5. Step 5: Solve for x
    x = 326,018,327.99/20,123
  6. Step 6: Final answer
    x = 16,201.28

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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.