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Finding the Fourth Proportional to 20,315.06, 30,458.28 and 7,824.62

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Solution

The fourth proportional to 20,315.06, 30,458.28 and 7,824.62 is: 11,731.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,315.06 : 30,458.28 = 7,824.62 : x
  2. Step 2: Convert to fraction form
    20,315.06/30,458.28 = 7,824.62/x
  3. Step 3: Cross multiply
    20,315.06x = 30,458.28 × 7,824.62
  4. Step 4: Simplify right side
    20,315.06x = 238,324,466.85
  5. Step 5: Solve for x
    x = 238,324,466.85/20,315.06
  6. Step 6: Final answer
    x = 11,731.42

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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.