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Finding the Fourth Proportional to 21,644.12, 32,480.75 and 8,494.94

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Solution

The fourth proportional to 21,644.12, 32,480.75 and 8,494.94 is: 12,748.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,644.12 : 32,480.75 = 8,494.94 : x
  2. Step 2: Convert to fraction form
    21,644.12/32,480.75 = 8,494.94/x
  3. Step 3: Cross multiply
    21,644.12x = 32,480.75 × 8,494.94
  4. Step 4: Simplify right side
    21,644.12x = 275,922,022.41
  5. Step 5: Solve for x
    x = 275,922,022.41/21,644.12
  6. Step 6: Final answer
    x = 12,748.13

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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.