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Finding the Fourth Proportional to 23,638.38, 32,615.07 and 15,021.42

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Solution

The fourth proportional to 23,638.38, 32,615.07 and 15,021.42 is: 20,725.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,638.38 : 32,615.07 = 15,021.42 : x
  2. Step 2: Convert to fraction form
    23,638.38/32,615.07 = 15,021.42/x
  3. Step 3: Cross multiply
    23,638.38x = 32,615.07 × 15,021.42
  4. Step 4: Simplify right side
    23,638.38x = 489,924,664.80
  5. Step 5: Solve for x
    x = 489,924,664.80/23,638.38
  6. Step 6: Final answer
    x = 20,725.81

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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.