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Finding the Fourth Proportional to 13,744.91, 20,618.71 and 3,884.26

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Solution

The fourth proportional to 13,744.91, 20,618.71 and 3,884.26 is: 5,826.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,744.91 : 20,618.71 = 3,884.26 : x
  2. Step 2: Convert to fraction form
    13,744.91/20,618.71 = 3,884.26/x
  3. Step 3: Cross multiply
    13,744.91x = 20,618.71 × 3,884.26
  4. Step 4: Simplify right side
    13,744.91x = 80,088,430.50
  5. Step 5: Solve for x
    x = 80,088,430.50/13,744.91
  6. Step 6: Final answer
    x = 5,826.77

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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.