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Finding the Fourth Proportional to 22,434.85, 33,640.49 and 9,949.48

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Solution

The fourth proportional to 22,434.85, 33,640.49 and 9,949.48 is: 14,918.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,434.85 : 33,640.49 = 9,949.48 : x
  2. Step 2: Convert to fraction form
    22,434.85/33,640.49 = 9,949.48/x
  3. Step 3: Cross multiply
    22,434.85x = 33,640.49 × 9,949.48
  4. Step 4: Simplify right side
    22,434.85x = 334,705,206.55
  5. Step 5: Solve for x
    x = 334,705,206.55/22,434.85
  6. Step 6: Final answer
    x = 14,918.99

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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.