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Finding the Fourth Proportional to 13,713.90, 20,568.22 and 6,686.85

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Solution

The fourth proportional to 13,713.90, 20,568.22 and 6,686.85 is: 10,028.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,713.90 : 20,568.22 = 6,686.85 : x
  2. Step 2: Convert to fraction form
    13,713.90/20,568.22 = 6,686.85/x
  3. Step 3: Cross multiply
    13,713.90x = 20,568.22 × 6,686.85
  4. Step 4: Simplify right side
    13,713.90x = 137,536,601.91
  5. Step 5: Solve for x
    x = 137,536,601.91/13,713.90
  6. Step 6: Final answer
    x = 10,028.99

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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.