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Finding the Fourth Proportional to 22,692.08, 34,031.64 and 9,542

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Solution

The fourth proportional to 22,692.08, 34,031.64 and 9,542 is: 14,310.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,692.08 : 34,031.64 = 9,542 : x
  2. Step 2: Convert to fraction form
    22,692.08/34,031.64 = 9,542/x
  3. Step 3: Cross multiply
    22,692.08x = 34,031.64 × 9,542
  4. Step 4: Simplify right side
    22,692.08x = 324,729,908.88
  5. Step 5: Solve for x
    x = 324,729,908.88/22,692.08
  6. Step 6: Final answer
    x = 14,310.28

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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.