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Finding the Fourth Proportional to 13,713.70, 20,576.04 and 5,395.81

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Solution

The fourth proportional to 13,713.70, 20,576.04 and 5,395.81 is: 8,095.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,713.70 : 20,576.04 = 5,395.81 : x
  2. Step 2: Convert to fraction form
    13,713.70/20,576.04 = 5,395.81/x
  3. Step 3: Cross multiply
    13,713.70x = 20,576.04 × 5,395.81
  4. Step 4: Simplify right side
    13,713.70x = 111,024,402.39
  5. Step 5: Solve for x
    x = 111,024,402.39/13,713.70
  6. Step 6: Final answer
    x = 8,095.88

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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.