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Finding the Fourth Proportional to 16,834.75, 25,255.77 and 6,446.50

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Solution

The fourth proportional to 16,834.75, 25,255.77 and 6,446.50 is: 9,671.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,834.75 : 25,255.77 = 6,446.50 : x
  2. Step 2: Convert to fraction form
    16,834.75/25,255.77 = 6,446.50/x
  3. Step 3: Cross multiply
    16,834.75x = 25,255.77 × 6,446.50
  4. Step 4: Simplify right side
    16,834.75x = 162,811,321.31
  5. Step 5: Solve for x
    x = 162,811,321.31/16,834.75
  6. Step 6: Final answer
    x = 9,671.15

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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.