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Finding the Fourth Proportional to 20,516.24, 30,759.78 and 10,524

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Solution

The fourth proportional to 20,516.24, 30,759.78 and 10,524 is: 15,778.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,516.24 : 30,759.78 = 10,524 : x
  2. Step 2: Convert to fraction form
    20,516.24/30,759.78 = 10,524/x
  3. Step 3: Cross multiply
    20,516.24x = 30,759.78 × 10,524
  4. Step 4: Simplify right side
    20,516.24x = 323,715,924.72
  5. Step 5: Solve for x
    x = 323,715,924.72/20,516.24
  6. Step 6: Final answer
    x = 15,778.52

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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.