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Finding the Fourth Proportional to 13,206.34, 19,813.74 and 3,846.92

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Solution

The fourth proportional to 13,206.34, 19,813.74 and 3,846.92 is: 5,771.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,206.34 : 19,813.74 = 3,846.92 : x
  2. Step 2: Convert to fraction form
    13,206.34/19,813.74 = 3,846.92/x
  3. Step 3: Cross multiply
    13,206.34x = 19,813.74 × 3,846.92
  4. Step 4: Simplify right side
    13,206.34x = 76,221,872.68
  5. Step 5: Solve for x
    x = 76,221,872.68/13,206.34
  6. Step 6: Final answer
    x = 5,771.61

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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.