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Finding the Fourth Proportional to 21,709.33, 32,546.98 and 8,571.53

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Solution

The fourth proportional to 21,709.33, 32,546.98 and 8,571.53 is: 12,850.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,709.33 : 32,546.98 = 8,571.53 : x
  2. Step 2: Convert to fraction form
    21,709.33/32,546.98 = 8,571.53/x
  3. Step 3: Cross multiply
    21,709.33x = 32,546.98 × 8,571.53
  4. Step 4: Simplify right side
    21,709.33x = 278,977,571.41
  5. Step 5: Solve for x
    x = 278,977,571.41/21,709.33
  6. Step 6: Final answer
    x = 12,850.58

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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.