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Finding the Fourth Proportional to 13,729.66, 20,617.28 and 8,568.34

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Solution

The fourth proportional to 13,729.66, 20,617.28 and 8,568.34 is: 12,866.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,729.66 : 20,617.28 = 8,568.34 : x
  2. Step 2: Convert to fraction form
    13,729.66/20,617.28 = 8,568.34/x
  3. Step 3: Cross multiply
    13,729.66x = 20,617.28 × 8,568.34
  4. Step 4: Simplify right side
    13,729.66x = 176,655,864.92
  5. Step 5: Solve for x
    x = 176,655,864.92/13,729.66
  6. Step 6: Final answer
    x = 12,866.73

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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.