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Finding the Fourth Proportional to 34,214.37, 51,286.47 and 16,419.21

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Solution

The fourth proportional to 34,214.37, 51,286.47 and 16,419.21 is: 24,611.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,214.37 : 51,286.47 = 16,419.21 : x
  2. Step 2: Convert to fraction form
    34,214.37/51,286.47 = 16,419.21/x
  3. Step 3: Cross multiply
    34,214.37x = 51,286.47 × 16,419.21
  4. Step 4: Simplify right side
    34,214.37x = 842,083,321.09
  5. Step 5: Solve for x
    x = 842,083,321.09/34,214.37
  6. Step 6: Final answer
    x = 24,611.98

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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.