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Finding the Fourth Proportional to 16,826.94, 23,217.03 and 10,450.62

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Solution

The fourth proportional to 16,826.94, 23,217.03 and 10,450.62 is: 14,419.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,826.94 : 23,217.03 = 10,450.62 : x
  2. Step 2: Convert to fraction form
    16,826.94/23,217.03 = 10,450.62/x
  3. Step 3: Cross multiply
    16,826.94x = 23,217.03 × 10,450.62
  4. Step 4: Simplify right side
    16,826.94x = 242,632,358.06
  5. Step 5: Solve for x
    x = 242,632,358.06/16,826.94
  6. Step 6: Final answer
    x = 14,419.28

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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.