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Finding the Fourth Proportional to 20,516.86, 30,775.29 and 15,843.70

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Solution

The fourth proportional to 20,516.86, 30,775.29 and 15,843.70 is: 23,765.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,516.86 : 30,775.29 = 15,843.70 : x
  2. Step 2: Convert to fraction form
    20,516.86/30,775.29 = 15,843.70/x
  3. Step 3: Cross multiply
    20,516.86x = 30,775.29 × 15,843.70
  4. Step 4: Simplify right side
    20,516.86x = 487,594,357.24
  5. Step 5: Solve for x
    x = 487,594,357.24/20,516.86
  6. Step 6: Final answer
    x = 23,765.55

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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.