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Finding the Fourth Proportional to 16,546.90, 22,834.74 and 8,993.32

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Solution

The fourth proportional to 16,546.90, 22,834.74 and 8,993.32 is: 12,410.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,546.90 : 22,834.74 = 8,993.32 : x
  2. Step 2: Convert to fraction form
    16,546.90/22,834.74 = 8,993.32/x
  3. Step 3: Cross multiply
    16,546.90x = 22,834.74 × 8,993.32
  4. Step 4: Simplify right side
    16,546.90x = 205,360,123.94
  5. Step 5: Solve for x
    x = 205,360,123.94/16,546.90
  6. Step 6: Final answer
    x = 12,410.79

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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.