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Finding the Fourth Proportional to 23,714.38, 32,723.92 and 13,104.03

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Solution

The fourth proportional to 23,714.38, 32,723.92 and 13,104.03 is: 18,082.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,714.38 : 32,723.92 = 13,104.03 : x
  2. Step 2: Convert to fraction form
    23,714.38/32,723.92 = 13,104.03/x
  3. Step 3: Cross multiply
    23,714.38x = 32,723.92 × 13,104.03
  4. Step 4: Simplify right side
    23,714.38x = 428,815,229.40
  5. Step 5: Solve for x
    x = 428,815,229.40/23,714.38
  6. Step 6: Final answer
    x = 18,082.50

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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.