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Finding the Fourth Proportional to 16,546.34, 22,834.10 and 8,992.79

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Solution

The fourth proportional to 16,546.34, 22,834.10 and 8,992.79 is: 12,410.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,546.34 : 22,834.10 = 8,992.79 : x
  2. Step 2: Convert to fraction form
    16,546.34/22,834.10 = 8,992.79/x
  3. Step 3: Cross multiply
    16,546.34x = 22,834.10 × 8,992.79
  4. Step 4: Simplify right side
    16,546.34x = 205,342,260.08
  5. Step 5: Solve for x
    x = 205,342,260.08/16,546.34
  6. Step 6: Final answer
    x = 12,410.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.