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Finding the Fourth Proportional to 20,516.74, 30,762.79 and 8,021.87

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Solution

The fourth proportional to 20,516.74, 30,762.79 and 8,021.87 is: 12,027.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,516.74 : 30,762.79 = 8,021.87 : x
  2. Step 2: Convert to fraction form
    20,516.74/30,762.79 = 8,021.87/x
  3. Step 3: Cross multiply
    20,516.74x = 30,762.79 × 8,021.87
  4. Step 4: Simplify right side
    20,516.74x = 246,775,043.71
  5. Step 5: Solve for x
    x = 246,775,043.71/20,516.74
  6. Step 6: Final answer
    x = 12,027.99

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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.