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Finding the Fourth Proportional to 13,729.42, 20,616.90 and 8,568.10

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Solution

The fourth proportional to 13,729.42, 20,616.90 and 8,568.10 is: 12,866.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,729.42 : 20,616.90 = 8,568.10 : x
  2. Step 2: Convert to fraction form
    13,729.42/20,616.90 = 8,568.10/x
  3. Step 3: Cross multiply
    13,729.42x = 20,616.90 × 8,568.10
  4. Step 4: Simplify right side
    13,729.42x = 176,647,660.89
  5. Step 5: Solve for x
    x = 176,647,660.89/13,729.42
  6. Step 6: Final answer
    x = 12,866.36

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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.