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Finding the Fourth Proportional to 21,731.27, 32,608.02 and 10,346.08

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Solution

The fourth proportional to 21,731.27, 32,608.02 and 10,346.08 is: 15,524.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,731.27 : 32,608.02 = 10,346.08 : x
  2. Step 2: Convert to fraction form
    21,731.27/32,608.02 = 10,346.08/x
  3. Step 3: Cross multiply
    21,731.27x = 32,608.02 × 10,346.08
  4. Step 4: Simplify right side
    21,731.27x = 337,365,183.56
  5. Step 5: Solve for x
    x = 337,365,183.56/21,731.27
  6. Step 6: Final answer
    x = 15,524.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.