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Finding the Fourth Proportional to 16,834.41, 25,251.61 and 6,446.16

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Solution

The fourth proportional to 16,834.41, 25,251.61 and 6,446.16 is: 9,669.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,834.41 : 25,251.61 = 6,446.16 : x
  2. Step 2: Convert to fraction form
    16,834.41/25,251.61 = 6,446.16/x
  3. Step 3: Cross multiply
    16,834.41x = 25,251.61 × 6,446.16
  4. Step 4: Simplify right side
    16,834.41x = 162,775,902.20
  5. Step 5: Solve for x
    x = 162,775,902.20/16,834.41
  6. Step 6: Final answer
    x = 9,669.24

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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.