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Finding the Fourth Proportional to 21,752.86, 32,640.09 and 8,614.66

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Solution

The fourth proportional to 21,752.86, 32,640.09 and 8,614.66 is: 12,926.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,752.86 : 32,640.09 = 8,614.66 : x
  2. Step 2: Convert to fraction form
    21,752.86/32,640.09 = 8,614.66/x
  3. Step 3: Cross multiply
    21,752.86x = 32,640.09 × 8,614.66
  4. Step 4: Simplify right side
    21,752.86x = 281,183,277.72
  5. Step 5: Solve for x
    x = 281,183,277.72/21,752.86
  6. Step 6: Final answer
    x = 12,926.27

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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.