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Finding the Fourth Proportional to 19,759.57, 29,639.36 and 7,275

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Solution

The fourth proportional to 19,759.57, 29,639.36 and 7,275 is: 10,912.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,759.57 : 29,639.36 = 7,275 : x
  2. Step 2: Convert to fraction form
    19,759.57/29,639.36 = 7,275/x
  3. Step 3: Cross multiply
    19,759.57x = 29,639.36 × 7,275
  4. Step 4: Simplify right side
    19,759.57x = 215,626,344
  5. Step 5: Solve for x
    x = 215,626,344/19,759.57
  6. Step 6: Final answer
    x = 10,912.50

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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.