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Finding the Fourth Proportional to 20,646.38, 30,968.82 and 5,855.24

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Solution

The fourth proportional to 20,646.38, 30,968.82 and 5,855.24 is: 8,782.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,646.38 : 30,968.82 = 5,855.24 : x
  2. Step 2: Convert to fraction form
    20,646.38/30,968.82 = 5,855.24/x
  3. Step 3: Cross multiply
    20,646.38x = 30,968.82 × 5,855.24
  4. Step 4: Simplify right side
    20,646.38x = 181,329,873.62
  5. Step 5: Solve for x
    x = 181,329,873.62/20,646.38
  6. Step 6: Final answer
    x = 8,782.65

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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.