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Finding the Fourth Proportional to 16,204.92, 22,362.48 and 9,131.20

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Solution

The fourth proportional to 16,204.92, 22,362.48 and 9,131.20 is: 12,600.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,204.92 : 22,362.48 = 9,131.20 : x
  2. Step 2: Convert to fraction form
    16,204.92/22,362.48 = 9,131.20/x
  3. Step 3: Cross multiply
    16,204.92x = 22,362.48 × 9,131.20
  4. Step 4: Simplify right side
    16,204.92x = 204,196,277.38
  5. Step 5: Solve for x
    x = 204,196,277.38/16,204.92
  6. Step 6: Final answer
    x = 12,600.88

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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.