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Finding the Fourth Proportional to 16,769.88, 23,142.65 and 9,217.04

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Solution

The fourth proportional to 16,769.88, 23,142.65 and 9,217.04 is: 12,719.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,769.88 : 23,142.65 = 9,217.04 : x
  2. Step 2: Convert to fraction form
    16,769.88/23,142.65 = 9,217.04/x
  3. Step 3: Cross multiply
    16,769.88x = 23,142.65 × 9,217.04
  4. Step 4: Simplify right side
    16,769.88x = 213,306,568.96
  5. Step 5: Solve for x
    x = 213,306,568.96/16,769.88
  6. Step 6: Final answer
    x = 12,719.62

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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.