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Finding the Fourth Proportional to 19,696.14, 29,535.57 and 7,375.50

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Solution

The fourth proportional to 19,696.14, 29,535.57 and 7,375.50 is: 11,060.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,696.14 : 29,535.57 = 7,375.50 : x
  2. Step 2: Convert to fraction form
    19,696.14/29,535.57 = 7,375.50/x
  3. Step 3: Cross multiply
    19,696.14x = 29,535.57 × 7,375.50
  4. Step 4: Simplify right side
    19,696.14x = 217,839,596.54
  5. Step 5: Solve for x
    x = 217,839,596.54/19,696.14
  6. Step 6: Final answer
    x = 11,060.01

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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.