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Finding the Fourth Proportional to 20,338.86, 30,458.61 and 12,536.94

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Solution

The fourth proportional to 20,338.86, 30,458.61 and 12,536.94 is: 18,774.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,338.86 : 30,458.61 = 12,536.94 : x
  2. Step 2: Convert to fraction form
    20,338.86/30,458.61 = 12,536.94/x
  3. Step 3: Cross multiply
    20,338.86x = 30,458.61 × 12,536.94
  4. Step 4: Simplify right side
    20,338.86x = 381,857,766.05
  5. Step 5: Solve for x
    x = 381,857,766.05/20,338.86
  6. Step 6: Final answer
    x = 18,774.79

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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.