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Finding the Fourth Proportional to 13,424.67, 18,527.54 and 8,122.41

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Solution

The fourth proportional to 13,424.67, 18,527.54 and 8,122.41 is: 11,209.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,424.67 : 18,527.54 = 8,122.41 : x
  2. Step 2: Convert to fraction form
    13,424.67/18,527.54 = 8,122.41/x
  3. Step 3: Cross multiply
    13,424.67x = 18,527.54 × 8,122.41
  4. Step 4: Simplify right side
    13,424.67x = 150,488,235.56
  5. Step 5: Solve for x
    x = 150,488,235.56/13,424.67
  6. Step 6: Final answer
    x = 11,209.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.