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Finding the Fourth Proportional to 11,627.42, 16,049.41 and 11,032.30

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Solution

The fourth proportional to 11,627.42, 16,049.41 and 11,032.30 is: 15,227.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,627.42 : 16,049.41 = 11,032.30 : x
  2. Step 2: Convert to fraction form
    11,627.42/16,049.41 = 11,032.30/x
  3. Step 3: Cross multiply
    11,627.42x = 16,049.41 × 11,032.30
  4. Step 4: Simplify right side
    11,627.42x = 177,061,898.42
  5. Step 5: Solve for x
    x = 177,061,898.42/11,627.42
  6. Step 6: Final answer
    x = 15,227.97

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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.