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Finding the Fourth Proportional to 20,452.46, 30,678.65 and 5,661.33

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Solution

The fourth proportional to 20,452.46, 30,678.65 and 5,661.33 is: 8,491.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,452.46 : 30,678.65 = 5,661.33 : x
  2. Step 2: Convert to fraction form
    20,452.46/30,678.65 = 5,661.33/x
  3. Step 3: Cross multiply
    20,452.46x = 30,678.65 × 5,661.33
  4. Step 4: Simplify right side
    20,452.46x = 173,681,933.30
  5. Step 5: Solve for x
    x = 173,681,933.30/20,452.46
  6. Step 6: Final answer
    x = 8,491.98

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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.