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Finding the Fourth Proportional to 14,753.34, 20,361.78 and 9,716.76

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Solution

The fourth proportional to 14,753.34, 20,361.78 and 9,716.76 is: 13,410.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,753.34 : 20,361.78 = 9,716.76 : x
  2. Step 2: Convert to fraction form
    14,753.34/20,361.78 = 9,716.76/x
  3. Step 3: Cross multiply
    14,753.34x = 20,361.78 × 9,716.76
  4. Step 4: Simplify right side
    14,753.34x = 197,850,529.43
  5. Step 5: Solve for x
    x = 197,850,529.43/14,753.34
  6. Step 6: Final answer
    x = 13,410.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.