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Finding the Fourth Proportional to 22,464.98, 33,706.20 and 9,314

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Solution

The fourth proportional to 22,464.98, 33,706.20 and 9,314 is: 13,974.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,464.98 : 33,706.20 = 9,314 : x
  2. Step 2: Convert to fraction form
    22,464.98/33,706.20 = 9,314/x
  3. Step 3: Cross multiply
    22,464.98x = 33,706.20 × 9,314
  4. Step 4: Simplify right side
    22,464.98x = 313,939,546.80
  5. Step 5: Solve for x
    x = 313,939,546.80/22,464.98
  6. Step 6: Final answer
    x = 13,974.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.