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Finding the Fourth Proportional to 21,704.96, 32,557.92 and 6,122.24

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Solution

The fourth proportional to 21,704.96, 32,557.92 and 6,122.24 is: 9,183.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,704.96 : 32,557.92 = 6,122.24 : x
  2. Step 2: Convert to fraction form
    21,704.96/32,557.92 = 6,122.24/x
  3. Step 3: Cross multiply
    21,704.96x = 32,557.92 × 6,122.24
  4. Step 4: Simplify right side
    21,704.96x = 199,327,400.14
  5. Step 5: Solve for x
    x = 199,327,400.14/21,704.96
  6. Step 6: Final answer
    x = 9,183.50

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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.