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Finding the Fourth Proportional to 16,138.38, 22,271.02 and 8,968.12

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Solution

The fourth proportional to 16,138.38, 22,271.02 and 8,968.12 is: 12,376.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,138.38 : 22,271.02 = 8,968.12 : x
  2. Step 2: Convert to fraction form
    16,138.38/22,271.02 = 8,968.12/x
  3. Step 3: Cross multiply
    16,138.38x = 22,271.02 × 8,968.12
  4. Step 4: Simplify right side
    16,138.38x = 199,729,179.88
  5. Step 5: Solve for x
    x = 199,729,179.88/16,138.38
  6. Step 6: Final answer
    x = 12,376.04

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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.