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Finding the Fourth Proportional to 16,806.80, 23,143.36 and 16,433.85

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Solution

The fourth proportional to 16,806.80, 23,143.36 and 16,433.85 is: 22,629.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,806.80 : 23,143.36 = 16,433.85 : x
  2. Step 2: Convert to fraction form
    16,806.80/23,143.36 = 16,433.85/x
  3. Step 3: Cross multiply
    16,806.80x = 23,143.36 × 16,433.85
  4. Step 4: Simplify right side
    16,806.80x = 380,334,465.65
  5. Step 5: Solve for x
    x = 380,334,465.65/16,806.80
  6. Step 6: Final answer
    x = 22,629.80

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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.