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Finding the Fourth Proportional to 12,231, 16,880.22 and 7,263

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Solution

The fourth proportional to 12,231, 16,880.22 and 7,263 is: 10,023.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,231 : 16,880.22 = 7,263 : x
  2. Step 2: Convert to fraction form
    12,231/16,880.22 = 7,263/x
  3. Step 3: Cross multiply
    12,231x = 16,880.22 × 7,263
  4. Step 4: Simplify right side
    12,231x = 122,601,037.86
  5. Step 5: Solve for x
    x = 122,601,037.86/12,231
  6. Step 6: Final answer
    x = 10,023.80

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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.