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Finding the Fourth Proportional to 16,997.50, 25,492.40 and 6,463.78

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Solution

The fourth proportional to 16,997.50, 25,492.40 and 6,463.78 is: 9,694.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,997.50 : 25,492.40 = 6,463.78 : x
  2. Step 2: Convert to fraction form
    16,997.50/25,492.40 = 6,463.78/x
  3. Step 3: Cross multiply
    16,997.50x = 25,492.40 × 6,463.78
  4. Step 4: Simplify right side
    16,997.50x = 164,777,265.27
  5. Step 5: Solve for x
    x = 164,777,265.27/16,997.50
  6. Step 6: Final answer
    x = 9,694.21

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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.