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Finding the Fourth Proportional to 20,304.40, 30,450.76 and 7,823.44

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Solution

The fourth proportional to 20,304.40, 30,450.76 and 7,823.44 is: 11,732.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,304.40 : 30,450.76 = 7,823.44 : x
  2. Step 2: Convert to fraction form
    20,304.40/30,450.76 = 7,823.44/x
  3. Step 3: Cross multiply
    20,304.40x = 30,450.76 × 7,823.44
  4. Step 4: Simplify right side
    20,304.40x = 238,229,693.81
  5. Step 5: Solve for x
    x = 238,229,693.81/20,304.40
  6. Step 6: Final answer
    x = 11,732.91

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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.