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Finding the Fourth Proportional to 23,383.38, 32,267.88 and 12,771.03

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Solution

The fourth proportional to 23,383.38, 32,267.88 and 12,771.03 is: 17,623.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,383.38 : 32,267.88 = 12,771.03 : x
  2. Step 2: Convert to fraction form
    23,383.38/32,267.88 = 12,771.03/x
  3. Step 3: Cross multiply
    23,383.38x = 32,267.88 × 12,771.03
  4. Step 4: Simplify right side
    23,383.38x = 412,094,063.52
  5. Step 5: Solve for x
    x = 412,094,063.52/23,383.38
  6. Step 6: Final answer
    x = 17,623.37

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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.