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Finding the Fourth Proportional to 16,811.50, 25,214.98 and 6,949.41

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Solution

The fourth proportional to 16,811.50, 25,214.98 and 6,949.41 is: 10,423.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,811.50 : 25,214.98 = 6,949.41 : x
  2. Step 2: Convert to fraction form
    16,811.50/25,214.98 = 6,949.41/x
  3. Step 3: Cross multiply
    16,811.50x = 25,214.98 × 6,949.41
  4. Step 4: Simplify right side
    16,811.50x = 175,229,234.16
  5. Step 5: Solve for x
    x = 175,229,234.16/16,811.50
  6. Step 6: Final answer
    x = 10,423.18

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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.