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Finding the Fourth Proportional to 16,462.71, 24,694.74 and 13,708.85

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Solution

The fourth proportional to 16,462.71, 24,694.74 and 13,708.85 is: 20,563.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,462.71 : 24,694.74 = 13,708.85 : x
  2. Step 2: Convert to fraction form
    16,462.71/24,694.74 = 13,708.85/x
  3. Step 3: Cross multiply
    16,462.71x = 24,694.74 × 13,708.85
  4. Step 4: Simplify right side
    16,462.71x = 338,536,362.98
  5. Step 5: Solve for x
    x = 338,536,362.98/16,462.71
  6. Step 6: Final answer
    x = 20,563.83

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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.