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Finding the Fourth Proportional to 21,849.24, 32,774 and 8,704.92

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Solution

The fourth proportional to 21,849.24, 32,774 and 8,704.92 is: 13,057.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,849.24 : 32,774 = 8,704.92 : x
  2. Step 2: Convert to fraction form
    21,849.24/32,774 = 8,704.92/x
  3. Step 3: Cross multiply
    21,849.24x = 32,774 × 8,704.92
  4. Step 4: Simplify right side
    21,849.24x = 285,295,048.08
  5. Step 5: Solve for x
    x = 285,295,048.08/21,849.24
  6. Step 6: Final answer
    x = 13,057.44

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