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Finding the Fourth Proportional to 13,769.85, 20,640.57 and 5,446.50

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Solution

The fourth proportional to 13,769.85, 20,640.57 and 5,446.50 is: 8,164.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,769.85 : 20,640.57 = 5,446.50 : x
  2. Step 2: Convert to fraction form
    13,769.85/20,640.57 = 5,446.50/x
  3. Step 3: Cross multiply
    13,769.85x = 20,640.57 × 5,446.50
  4. Step 4: Simplify right side
    13,769.85x = 112,418,864.51
  5. Step 5: Solve for x
    x = 112,418,864.51/13,769.85
  6. Step 6: Final answer
    x = 8,164.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.