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Finding the Fourth Proportional to 23,209.38, 32,034.21 and 14,723.21

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Solution

The fourth proportional to 23,209.38, 32,034.21 and 14,723.21 is: 20,321.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,209.38 : 32,034.21 = 14,723.21 : x
  2. Step 2: Convert to fraction form
    23,209.38/32,034.21 = 14,723.21/x
  3. Step 3: Cross multiply
    23,209.38x = 32,034.21 × 14,723.21
  4. Step 4: Simplify right side
    23,209.38x = 471,646,481.10
  5. Step 5: Solve for x
    x = 471,646,481.10/23,209.38
  6. Step 6: Final answer
    x = 20,321.37

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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.