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Finding the Fourth Proportional to 11,629.71, 16,049.61 and 11,211.48

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Solution

The fourth proportional to 11,629.71, 16,049.61 and 11,211.48 is: 15,472.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,629.71 : 16,049.61 = 11,211.48 : x
  2. Step 2: Convert to fraction form
    11,629.71/16,049.61 = 11,211.48/x
  3. Step 3: Cross multiply
    11,629.71x = 16,049.61 × 11,211.48
  4. Step 4: Simplify right side
    11,629.71x = 179,939,881.52
  5. Step 5: Solve for x
    x = 179,939,881.52/11,629.71
  6. Step 6: Final answer
    x = 15,472.43

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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.