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Finding the Fourth Proportional to 29,912.76, 44,874 and 11,199.33

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Solution

The fourth proportional to 29,912.76, 44,874 and 11,199.33 is: 16,800.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,912.76 : 44,874 = 11,199.33 : x
  2. Step 2: Convert to fraction form
    29,912.76/44,874 = 11,199.33/x
  3. Step 3: Cross multiply
    29,912.76x = 44,874 × 11,199.33
  4. Step 4: Simplify right side
    29,912.76x = 502,558,734.42
  5. Step 5: Solve for x
    x = 502,558,734.42/29,912.76
  6. Step 6: Final answer
    x = 16,800.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.