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Finding the Fourth Proportional to 16,405.92, 22,640.24 and 8,954.08

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Solution

The fourth proportional to 16,405.92, 22,640.24 and 8,954.08 is: 12,356.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,405.92 : 22,640.24 = 8,954.08 : x
  2. Step 2: Convert to fraction form
    16,405.92/22,640.24 = 8,954.08/x
  3. Step 3: Cross multiply
    16,405.92x = 22,640.24 × 8,954.08
  4. Step 4: Simplify right side
    16,405.92x = 202,722,520.18
  5. Step 5: Solve for x
    x = 202,722,520.18/16,405.92
  6. Step 6: Final answer
    x = 12,356.67

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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.