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Finding the Fourth Proportional to 20,283.84, 27,991.76 and 11,331.65

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Solution

The fourth proportional to 20,283.84, 27,991.76 and 11,331.65 is: 15,637.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,283.84 : 27,991.76 = 11,331.65 : x
  2. Step 2: Convert to fraction form
    20,283.84/27,991.76 = 11,331.65/x
  3. Step 3: Cross multiply
    20,283.84x = 27,991.76 × 11,331.65
  4. Step 4: Simplify right side
    20,283.84x = 317,192,840.53
  5. Step 5: Solve for x
    x = 317,192,840.53/20,283.84
  6. Step 6: Final answer
    x = 15,637.71

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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.