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Finding the Fourth Proportional to 13,544.80, 20,317.16 and 5,748.16

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Solution

The fourth proportional to 13,544.80, 20,317.16 and 5,748.16 is: 8,622.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,544.80 : 20,317.16 = 5,748.16 : x
  2. Step 2: Convert to fraction form
    13,544.80/20,317.16 = 5,748.16/x
  3. Step 3: Cross multiply
    13,544.80x = 20,317.16 × 5,748.16
  4. Step 4: Simplify right side
    13,544.80x = 116,786,286.43
  5. Step 5: Solve for x
    x = 116,786,286.43/13,544.80
  6. Step 6: Final answer
    x = 8,622.22

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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.