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Finding the Fourth Proportional to 24,912.94, 34,379.85 and 13,734.94

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Solution

The fourth proportional to 24,912.94, 34,379.85 and 13,734.94 is: 18,954.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,912.94 : 34,379.85 = 13,734.94 : x
  2. Step 2: Convert to fraction form
    24,912.94/34,379.85 = 13,734.94/x
  3. Step 3: Cross multiply
    24,912.94x = 34,379.85 × 13,734.94
  4. Step 4: Simplify right side
    24,912.94x = 472,205,142.52
  5. Step 5: Solve for x
    x = 472,205,142.52/24,912.94
  6. Step 6: Final answer
    x = 18,954.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.