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Finding the Fourth Proportional to 19,696.50, 29,528.18 and 9,161.17

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Solution

The fourth proportional to 19,696.50, 29,528.18 and 9,161.17 is: 13,734.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,696.50 : 29,528.18 = 9,161.17 : x
  2. Step 2: Convert to fraction form
    19,696.50/29,528.18 = 9,161.17/x
  3. Step 3: Cross multiply
    19,696.50x = 29,528.18 × 9,161.17
  4. Step 4: Simplify right side
    19,696.50x = 270,512,591.50
  5. Step 5: Solve for x
    x = 270,512,591.50/19,696.50
  6. Step 6: Final answer
    x = 13,734.04

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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.