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Finding the Fourth Proportional to 16,271.30, 22,454.16 and 9,197.48

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Solution

The fourth proportional to 16,271.30, 22,454.16 and 9,197.48 is: 12,692.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,271.30 : 22,454.16 = 9,197.48 : x
  2. Step 2: Convert to fraction form
    16,271.30/22,454.16 = 9,197.48/x
  3. Step 3: Cross multiply
    16,271.30x = 22,454.16 × 9,197.48
  4. Step 4: Simplify right side
    16,271.30x = 206,521,687.52
  5. Step 5: Solve for x
    x = 206,521,687.52/16,271.30
  6. Step 6: Final answer
    x = 12,692.39

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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.