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Finding the Fourth Proportional to 20,629.84, 30,956.64 and 8,944.24

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Solution

The fourth proportional to 20,629.84, 30,956.64 and 8,944.24 is: 13,421.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,629.84 : 30,956.64 = 8,944.24 : x
  2. Step 2: Convert to fraction form
    20,629.84/30,956.64 = 8,944.24/x
  3. Step 3: Cross multiply
    20,629.84x = 30,956.64 × 8,944.24
  4. Step 4: Simplify right side
    20,629.84x = 276,883,617.75
  5. Step 5: Solve for x
    x = 276,883,617.75/20,629.84
  6. Step 6: Final answer
    x = 13,421.51

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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.