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Finding the Fourth Proportional to 16,401, 24,601.50 and 5,457

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Solution

The fourth proportional to 16,401, 24,601.50 and 5,457 is: 8,185.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,401 : 24,601.50 = 5,457 : x
  2. Step 2: Convert to fraction form
    16,401/24,601.50 = 5,457/x
  3. Step 3: Cross multiply
    16,401x = 24,601.50 × 5,457
  4. Step 4: Simplify right side
    16,401x = 134,250,385.50
  5. Step 5: Solve for x
    x = 134,250,385.50/16,401
  6. Step 6: Final answer
    x = 8,185.50

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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.