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Finding the Fourth Proportional to 11,972.34, 16,504.71 and 8,424.54

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Solution

The fourth proportional to 11,972.34, 16,504.71 and 8,424.54 is: 11,613.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,972.34 : 16,504.71 = 8,424.54 : x
  2. Step 2: Convert to fraction form
    11,972.34/16,504.71 = 8,424.54/x
  3. Step 3: Cross multiply
    11,972.34x = 16,504.71 × 8,424.54
  4. Step 4: Simplify right side
    11,972.34x = 139,044,589.58
  5. Step 5: Solve for x
    x = 139,044,589.58/11,972.34
  6. Step 6: Final answer
    x = 11,613.82

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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.