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Finding the Fourth Proportional to 11,972.56, 16,536.94 and 8,451.50

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Solution

The fourth proportional to 11,972.56, 16,536.94 and 8,451.50 is: 11,673.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,972.56 : 16,536.94 = 8,451.50 : x
  2. Step 2: Convert to fraction form
    11,972.56/16,536.94 = 8,451.50/x
  3. Step 3: Cross multiply
    11,972.56x = 16,536.94 × 8,451.50
  4. Step 4: Simplify right side
    11,972.56x = 139,761,948.41
  5. Step 5: Solve for x
    x = 139,761,948.41/11,972.56
  6. Step 6: Final answer
    x = 11,673.52

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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.