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Finding the Fourth Proportional to 19,759.87, 29,613.66 and 10,380.71

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Solution

The fourth proportional to 19,759.87, 29,613.66 and 10,380.71 is: 15,557.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,759.87 : 29,613.66 = 10,380.71 : x
  2. Step 2: Convert to fraction form
    19,759.87/29,613.66 = 10,380.71/x
  3. Step 3: Cross multiply
    19,759.87x = 29,613.66 × 10,380.71
  4. Step 4: Simplify right side
    19,759.87x = 307,410,816.50
  5. Step 5: Solve for x
    x = 307,410,816.50/19,759.87
  6. Step 6: Final answer
    x = 15,557.33

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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.