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Finding the Fourth Proportional to 34,205.96, 51,302.77 and 12,016.49

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Solution

The fourth proportional to 34,205.96, 51,302.77 and 12,016.49 is: 18,022.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,205.96 : 51,302.77 = 12,016.49 : x
  2. Step 2: Convert to fraction form
    34,205.96/51,302.77 = 12,016.49/x
  3. Step 3: Cross multiply
    34,205.96x = 51,302.77 × 12,016.49
  4. Step 4: Simplify right side
    34,205.96x = 616,478,936.12
  5. Step 5: Solve for x
    x = 616,478,936.12/34,205.96
  6. Step 6: Final answer
    x = 18,022.56

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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.