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Finding the Fourth Proportional to 13,544.79, 20,318.10 and 5,224.88

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Solution

The fourth proportional to 13,544.79, 20,318.10 and 5,224.88 is: 7,837.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,544.79 : 20,318.10 = 5,224.88 : x
  2. Step 2: Convert to fraction form
    13,544.79/20,318.10 = 5,224.88/x
  3. Step 3: Cross multiply
    13,544.79x = 20,318.10 × 5,224.88
  4. Step 4: Simplify right side
    13,544.79x = 106,159,519.68
  5. Step 5: Solve for x
    x = 106,159,519.68/13,544.79
  6. Step 6: Final answer
    x = 7,837.66

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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.