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Finding the Fourth Proportional to 22,116.75, 33,185.74 and 13,794.63

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Solution

The fourth proportional to 22,116.75, 33,185.74 and 13,794.63 is: 20,698.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,116.75 : 33,185.74 = 13,794.63 : x
  2. Step 2: Convert to fraction form
    22,116.75/33,185.74 = 13,794.63/x
  3. Step 3: Cross multiply
    22,116.75x = 33,185.74 × 13,794.63
  4. Step 4: Simplify right side
    22,116.75x = 457,784,838.65
  5. Step 5: Solve for x
    x = 457,784,838.65/22,116.75
  6. Step 6: Final answer
    x = 20,698.56

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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.