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Finding the Fourth Proportional to 23,124.38, 34,692.03 and 7,542

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Solution

The fourth proportional to 23,124.38, 34,692.03 and 7,542 is: 11,314.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,124.38 : 34,692.03 = 7,542 : x
  2. Step 2: Convert to fraction form
    23,124.38/34,692.03 = 7,542/x
  3. Step 3: Cross multiply
    23,124.38x = 34,692.03 × 7,542
  4. Step 4: Simplify right side
    23,124.38x = 261,647,290.26
  5. Step 5: Solve for x
    x = 261,647,290.26/23,124.38
  6. Step 6: Final answer
    x = 11,314.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.