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Finding the Fourth Proportional to 16,806.45, 23,142.87 and 16,433.50

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Solution

The fourth proportional to 16,806.45, 23,142.87 and 16,433.50 is: 22,629.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,806.45 : 23,142.87 = 16,433.50 : x
  2. Step 2: Convert to fraction form
    16,806.45/23,142.87 = 16,433.50/x
  3. Step 3: Cross multiply
    16,806.45x = 23,142.87 × 16,433.50
  4. Step 4: Simplify right side
    16,806.45x = 380,318,357.91
  5. Step 5: Solve for x
    x = 380,318,357.91/16,806.45
  6. Step 6: Final answer
    x = 22,629.31

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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.