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Finding the Fourth Proportional to 24,692.88, 34,094.49 and 15,145.94

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Solution

The fourth proportional to 24,692.88, 34,094.49 and 15,145.94 is: 20,912.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,692.88 : 34,094.49 = 15,145.94 : x
  2. Step 2: Convert to fraction form
    24,692.88/34,094.49 = 15,145.94/x
  3. Step 3: Cross multiply
    24,692.88x = 34,094.49 × 15,145.94
  4. Step 4: Simplify right side
    24,692.88x = 516,393,099.87
  5. Step 5: Solve for x
    x = 516,393,099.87/24,692.88
  6. Step 6: Final answer
    x = 20,912.63

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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.