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Finding the Fourth Proportional to 11,758.50, 16,212.33 and 9,232.74

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Solution

The fourth proportional to 11,758.50, 16,212.33 and 9,232.74 is: 12,729.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,758.50 : 16,212.33 = 9,232.74 : x
  2. Step 2: Convert to fraction form
    11,758.50/16,212.33 = 9,232.74/x
  3. Step 3: Cross multiply
    11,758.50x = 16,212.33 × 9,232.74
  4. Step 4: Simplify right side
    11,758.50x = 149,684,227.68
  5. Step 5: Solve for x
    x = 149,684,227.68/11,758.50
  6. Step 6: Final answer
    x = 12,729.87

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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.