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Finding the Fourth Proportional to 16,964.28, 25,429.50 and 8,194.38

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Solution

The fourth proportional to 16,964.28, 25,429.50 and 8,194.38 is: 12,283.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,964.28 : 25,429.50 = 8,194.38 : x
  2. Step 2: Convert to fraction form
    16,964.28/25,429.50 = 8,194.38/x
  3. Step 3: Cross multiply
    16,964.28x = 25,429.50 × 8,194.38
  4. Step 4: Simplify right side
    16,964.28x = 208,378,986.21
  5. Step 5: Solve for x
    x = 208,378,986.21/16,964.28
  6. Step 6: Final answer
    x = 12,283.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.