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Finding the Fourth Proportional to 12,563.79, 18,839.21 and 5,166.87

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Solution

The fourth proportional to 12,563.79, 18,839.21 and 5,166.87 is: 7,747.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,563.79 : 18,839.21 = 5,166.87 : x
  2. Step 2: Convert to fraction form
    12,563.79/18,839.21 = 5,166.87/x
  3. Step 3: Cross multiply
    12,563.79x = 18,839.21 × 5,166.87
  4. Step 4: Simplify right side
    12,563.79x = 97,339,723.14
  5. Step 5: Solve for x
    x = 97,339,723.14/12,563.79
  6. Step 6: Final answer
    x = 7,747.64

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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.