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Finding the Fourth Proportional to 13,431.48, 18,523.04 and 8,394.09

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Solution

The fourth proportional to 13,431.48, 18,523.04 and 8,394.09 is: 11,576.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,431.48 : 18,523.04 = 8,394.09 : x
  2. Step 2: Convert to fraction form
    13,431.48/18,523.04 = 8,394.09/x
  3. Step 3: Cross multiply
    13,431.48x = 18,523.04 × 8,394.09
  4. Step 4: Simplify right side
    13,431.48x = 155,484,064.83
  5. Step 5: Solve for x
    x = 155,484,064.83/13,431.48
  6. Step 6: Final answer
    x = 11,576.09

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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.