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Finding the Fourth Proportional to 13,544.16, 20,324.90 and 5,752.97

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Solution

The fourth proportional to 13,544.16, 20,324.90 and 5,752.97 is: 8,633.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,544.16 : 20,324.90 = 5,752.97 : x
  2. Step 2: Convert to fraction form
    13,544.16/20,324.90 = 5,752.97/x
  3. Step 3: Cross multiply
    13,544.16x = 20,324.90 × 5,752.97
  4. Step 4: Simplify right side
    13,544.16x = 116,928,409.56
  5. Step 5: Solve for x
    x = 116,928,409.56/13,544.16
  6. Step 6: Final answer
    x = 8,633.12

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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.