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Finding the Fourth Proportional to 34,408.14, 51,599.81 and 11,912.71

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Solution

The fourth proportional to 34,408.14, 51,599.81 and 11,912.71 is: 17,864.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,408.14 : 51,599.81 = 11,912.71 : x
  2. Step 2: Convert to fraction form
    34,408.14/51,599.81 = 11,912.71/x
  3. Step 3: Cross multiply
    34,408.14x = 51,599.81 × 11,912.71
  4. Step 4: Simplify right side
    34,408.14x = 614,693,255.02
  5. Step 5: Solve for x
    x = 614,693,255.02/34,408.14
  6. Step 6: Final answer
    x = 17,864.77

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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.