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Finding the Fourth Proportional to 12,833.10, 17,709.23 and 7,167.80

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Solution

The fourth proportional to 12,833.10, 17,709.23 and 7,167.80 is: 9,891.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,833.10 : 17,709.23 = 7,167.80 : x
  2. Step 2: Convert to fraction form
    12,833.10/17,709.23 = 7,167.80/x
  3. Step 3: Cross multiply
    12,833.10x = 17,709.23 × 7,167.80
  4. Step 4: Simplify right side
    12,833.10x = 126,936,280.99
  5. Step 5: Solve for x
    x = 126,936,280.99/12,833.10
  6. Step 6: Final answer
    x = 9,891.32

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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.