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Finding the Fourth Proportional to 13,867.88, 20,786.91 and 4,974.65

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Solution

The fourth proportional to 13,867.88, 20,786.91 and 4,974.65 is: 7,456.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,867.88 : 20,786.91 = 4,974.65 : x
  2. Step 2: Convert to fraction form
    13,867.88/20,786.91 = 4,974.65/x
  3. Step 3: Cross multiply
    13,867.88x = 20,786.91 × 4,974.65
  4. Step 4: Simplify right side
    13,867.88x = 103,407,497.90
  5. Step 5: Solve for x
    x = 103,407,497.90/13,867.88
  6. Step 6: Final answer
    x = 7,456.62

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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.