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Finding the Fourth Proportional to 16,477.85, 24,716.56 and 3,997.98

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Solution

The fourth proportional to 16,477.85, 24,716.56 and 3,997.98 is: 5,996.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,477.85 : 24,716.56 = 3,997.98 : x
  2. Step 2: Convert to fraction form
    16,477.85/24,716.56 = 3,997.98/x
  3. Step 3: Cross multiply
    16,477.85x = 24,716.56 × 3,997.98
  4. Step 4: Simplify right side
    16,477.85x = 98,816,312.55
  5. Step 5: Solve for x
    x = 98,816,312.55/16,477.85
  6. Step 6: Final answer
    x = 5,996.92

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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.