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Finding the Fourth Proportional to 21,716.55, 32,629.50 and 13,822.70

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Solution

The fourth proportional to 21,716.55, 32,629.50 and 13,822.70 is: 20,768.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,716.55 : 32,629.50 = 13,822.70 : x
  2. Step 2: Convert to fraction form
    21,716.55/32,629.50 = 13,822.70/x
  3. Step 3: Cross multiply
    21,716.55x = 32,629.50 × 13,822.70
  4. Step 4: Simplify right side
    21,716.55x = 451,027,626.50
  5. Step 5: Solve for x
    x = 451,027,626.50/21,716.55
  6. Step 6: Final answer
    x = 20,768.84

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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.