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Finding the Fourth Proportional to 13,823.56, 20,723.82 and 6,424.12

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Solution

The fourth proportional to 13,823.56, 20,723.82 and 6,424.12 is: 9,630.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,823.56 : 20,723.82 = 6,424.12 : x
  2. Step 2: Convert to fraction form
    13,823.56/20,723.82 = 6,424.12/x
  3. Step 3: Cross multiply
    13,823.56x = 20,723.82 × 6,424.12
  4. Step 4: Simplify right side
    13,823.56x = 133,132,306.54
  5. Step 5: Solve for x
    x = 133,132,306.54/13,823.56
  6. Step 6: Final answer
    x = 9,630.83

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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.