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Finding the Fourth Proportional to 20,565.42, 30,850.49 and 8,083.79

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Solution

The fourth proportional to 20,565.42, 30,850.49 and 8,083.79 is: 12,126.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,565.42 : 30,850.49 = 8,083.79 : x
  2. Step 2: Convert to fraction form
    20,565.42/30,850.49 = 8,083.79/x
  3. Step 3: Cross multiply
    20,565.42x = 30,850.49 × 8,083.79
  4. Step 4: Simplify right side
    20,565.42x = 249,388,882.56
  5. Step 5: Solve for x
    x = 249,388,882.56/20,565.42
  6. Step 6: Final answer
    x = 12,126.61

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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.