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Finding the Fourth Proportional to 20,311.34, 30,458.90 and 7,824.38

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Solution

The fourth proportional to 20,311.34, 30,458.90 and 7,824.38 is: 11,733.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,311.34 : 30,458.90 = 7,824.38 : x
  2. Step 2: Convert to fraction form
    20,311.34/30,458.90 = 7,824.38/x
  3. Step 3: Cross multiply
    20,311.34x = 30,458.90 × 7,824.38
  4. Step 4: Simplify right side
    20,311.34x = 238,322,007.98
  5. Step 5: Solve for x
    x = 238,322,007.98/20,311.34
  6. Step 6: Final answer
    x = 11,733.45

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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.